diff --git a/tutorials/01_manybody_binary_basis.jl b/tutorials/01_manybody_binary_basis.jl index c8f2cb0..ecf3ee2 100644 --- a/tutorials/01_manybody_binary_basis.jl +++ b/tutorials/01_manybody_binary_basis.jl @@ -1,4 +1,6 @@ -include("../src/mybase.jl") +#include("../src/mybase.jl") +using KaiEDJ + function TestBinaryBasisCreAnni() @@ -15,9 +17,9 @@ function TestBinaryBasisCreAnni() println( ("cdagi|state $x> (for $i-th orbital operations) with isocc_zbase(), isemp_zbase(), NFerSwap(), Ntot() ") ) println( (" ci|state $x> (for $i-th orbital operations) with isocc_zbase(), isemp_zbase(), NFerSwap(), Ntot() ") ) println( "OUTPUT ::" ) - println( format(" |{:s}> {:s} {:s} ; nswap={:d} ntot={:d}",getbittaili(x), isocc_zbase(x,i) , isemp_zbase(x,i) , NFerSwap(x,i) , OpNtot(x) )) - println( format(" |{:s}> {:s} {:s} ; nswap={:d} ntot={:d}",getbittaili(cdx), isocc_zbase(cdx,i), isemp_zbase(cdx,i), NFerSwap(cdx,i) , OpNtot(cdx) )) - println( format(" |{:s}> {:s} {:s} ; nswap={:d} ntot={:d}",getbittaili(cx), isocc_zbase(cx,i) , isemp_zbase(cx,i) , NFerSwap(cx,i) , OpNtot(cx) )) + println( KaiEDJ.format(" |{:s}> {:s} {:s} ; nswap={:d} ntot={:d}",getbittaili(x), isocc_zbase(x,i) , isemp_zbase(x,i) , NFerSwap(x,i) , OpNtot(x) )) + println( KaiEDJ.format(" |{:s}> {:s} {:s} ; nswap={:d} ntot={:d}",getbittaili(cdx), isocc_zbase(cdx,i), isemp_zbase(cdx,i), NFerSwap(cdx,i) , OpNtot(cdx) )) + println( KaiEDJ.format(" |{:s}> {:s} {:s} ; nswap={:d} ntot={:d}",getbittaili(cx), isocc_zbase(cx,i) , isemp_zbase(cx,i) , NFerSwap(cx,i) , OpNtot(cx) )) println("") end end @@ -37,9 +39,9 @@ function TestBinaryBasisNtot() println( ("cdagi|state $x> (for $i-th orbital operations)", "isocc_zbase() isemp_zbase(), Ntot()") ) println( (" ci|state $x> (for $i-th orbital operations)", "isocc_zbase() isemp_zbase(), Ntot()") ) println( "OUTPUT ::" ) - println( format(" |{:s}> {:s} {:s} ; ntot={:d} ",getbittaili(x), isocc_zbase(x,i) , isemp_zbase(x,i) , OpNtot(x) )) - println( format(" |{:s}> {:s} {:s} ; ntot={:d} ",getbittaili(cdx), isocc_zbase(cdx,i), isemp_zbase(cdx,i), OpNtot(cdx) )) - println( format(" |{:s}> {:s} {:s} ; ntot={:d} ",getbittaili(cx), isocc_zbase(cx,i) , isemp_zbase(cx,i) , OpNtot(cx) )) + println( KaiEDJ.format(" |{:s}> {:s} {:s} ; ntot={:d} ",getbittaili(x), isocc_zbase(x,i) , isemp_zbase(x,i) , OpNtot(x) )) + println( KaiEDJ.format(" |{:s}> {:s} {:s} ; ntot={:d} ",getbittaili(cdx), isocc_zbase(cdx,i), isemp_zbase(cdx,i), OpNtot(cdx) )) + println( KaiEDJ.format(" |{:s}> {:s} {:s} ; ntot={:d} ",getbittaili(cx), isocc_zbase(cx,i) , isemp_zbase(cx,i) , OpNtot(cx) )) println("") end end diff --git a/tutorials/02_manybody_binary_basis_tensor_operation.jl b/tutorials/02_manybody_binary_basis_tensor_operation.jl index 20db18a..eb1015a 100644 --- a/tutorials/02_manybody_binary_basis_tensor_operation.jl +++ b/tutorials/02_manybody_binary_basis_tensor_operation.jl @@ -1,4 +1,6 @@ -include("../src/mybase.jl") +# include("../src/mybase.jl") +using KaiEDJ + println("") println(" Vij operation ( Vij |psi> = |psi'> ) :" ) @@ -7,7 +9,7 @@ for x in 1:3 for i in 1:3 for j in 1:3 x_new = act_vij(x,i,j) - println(format("C({:d}) A({:d}) |{:s}> = {:s}", i, j, getbittaili(x), getbittaili(x_new) )) + println(KaiEDJ.format("C({:d}) A({:d}) |{:s}> = {:s}", i, j, getbittaili(x), getbittaili(x_new) )) end end end @@ -18,6 +20,6 @@ for x in 1:6 println("") for (i,j,k,l) in [ [1,2,3,4], [1,2,2,1], [1,2,1,2], [1,3,2,1] ] x_new = act_vijkl(x,i,j,k,l) - println(format("CCAA({}) |{:s}> = {:s}", [i,j,k,l], getbittaili(x), getbittaili(x_new) )) + println(KaiEDJ.format("CCAA({}) |{:s}> = {:s}", [i,j,k,l], getbittaili(x), getbittaili(x_new) )) end end diff --git a/tutorials/03_manybody_wavefunction_hashingfunction.jl b/tutorials/03_manybody_wavefunction_hashingfunction.jl index 36333fc..6599ed6 100644 --- a/tutorials/03_manybody_wavefunction_hashingfunction.jl +++ b/tutorials/03_manybody_wavefunction_hashingfunction.jl @@ -1,5 +1,5 @@ -include("../src/mybase.jl") - +#include("../src/mybase.jl") +using KaiEDJ println("\n######### PARAMETER SETUP ##########") norb = 3 diff --git a/tutorials/04_manybody_wavefunction.jl b/tutorials/04_manybody_wavefunction.jl index b1a6c13..d1264f1 100644 --- a/tutorials/04_manybody_wavefunction.jl +++ b/tutorials/04_manybody_wavefunction.jl @@ -1,5 +1,5 @@ -include("../src/mybase.jl") - +#include("../src/mybase.jl") +using KaiEDJ init_println("PARAMETER SETUP") norb = 3 diff --git a/tutorials/05_manybody_wavefunction_operations.jl b/tutorials/05_manybody_wavefunction_operations.jl index 6cc23cb..556782a 100644 --- a/tutorials/05_manybody_wavefunction_operations.jl +++ b/tutorials/05_manybody_wavefunction_operations.jl @@ -1,4 +1,5 @@ -include("../src/mybase.jl") +#include("../src/mybase.jl") +using KaiEDJ init_println("PARAMETER SETUP") @@ -56,25 +57,25 @@ dimN3 = length(hashfsec[isectorN3]) wfN3_1 = WF(dimN3, hashfsec[isectorN3], hashfinv, isectorN3, Nel ) v0 = collect(1:dimN3) wfN3_1.Probamp = v0 -@show sparse(wfN3_1.Probamp) +@show KaiEDJ.sparse(wfN3_1.Probamp) println( "" ) println( "wfN3_2 :: " ) wfN3_2 = WF(wfN3_1) -@show sparse(wfN3_2.Probamp) +@show KaiEDJ.sparse(wfN3_2.Probamp) println( "OpCAWFadd( tij, wfN3_1, wfN3_2 ) " ) OpCAWFadd( tij, wfN3_1, wfN3_2 ; outputlevel= 2) -@show sparse(wfN3_2.Probamp) +@show KaiEDJ.sparse(wfN3_2.Probamp) println( "OpCWFadd( cdi, wfN3_1, wfN3_2 ) " ) OpCWFadd( cdi, wfN3_1, wfN3_2 ) -@show sparse(wfN3_2.Probamp) +@show KaiEDJ.sparse(wfN3_2.Probamp) println( "OpAWFadd( ci, wfN3_1, wfN3_2 ) " ) OpAWFadd( ci, wfN3_1, wfN3_2 ) -@show sparse(wfN3_2.Probamp) +@show KaiEDJ.sparse(wfN3_2.Probamp) println( "" ) println( "ShowWFBasis(wfN3_1) ") @@ -90,7 +91,7 @@ wfN4_1 = WF(dimN4, hashfsec[isectorN4], hashfinv, isectorN4, Nel ) println( "OpCWFadd( cdi, wfN3_1, wfN4_1 ) " ) OpCWFadd( cdi, wfN3_1, wfN4_1 ) -@show sparse(wfN4_1.Probamp) +@show KaiEDJ.sparse(wfN4_1.Probamp) println( "" ) println( "ShowWFBasis(wfN4_1) ") @@ -106,8 +107,8 @@ wfN2_1 = WF(dimN2, hashfsec[isectorN2], hashfinv, isectorN2, Nel ) println( "OpAWFadd( ci, wfN3_1, wfN2_1 ) " ) OpAWFadd( ci, wfN3_1, wfN2_1 ) -@show sparse(wfN3_1.Probamp) -@show sparse(wfN2_1.Probamp) +@show KaiEDJ.sparse(wfN3_1.Probamp) +@show KaiEDJ.sparse(wfN2_1.Probamp) println( "" ) println( "ShowWFBasis(wfN2_1) ") diff --git a/tutorials/06_manybody_hamiltonian_diagonalization_singlesite_t2g.jl b/tutorials/06_manybody_hamiltonian_diagonalization_singlesite_t2g.jl index 4c0acce..7715e58 100644 --- a/tutorials/06_manybody_hamiltonian_diagonalization_singlesite_t2g.jl +++ b/tutorials/06_manybody_hamiltonian_diagonalization_singlesite_t2g.jl @@ -1,5 +1,6 @@ -ENV["PROJECT_PATH_ED"]="../envs/KED" -include("../src/mybase.jl") +#ENV["PROJECT_PATH_ED"]="../envs/KED" +#include("../src/mybase.jl") +using KaiEDJ norb = 3 nspin = 2 @@ -65,13 +66,13 @@ for opca in tij ConstructHamil_ij!( H, opca, HashF, HashFInv ; outputlevel=2 ) end -@show issparse(H.MatSparse) +@show KaiEDJ.issparse(H.MatSparse) @show H.MatSparse -@show ishermitian(H.MatSparse) -@show issymmetric(H.MatSparse) +@show KaiEDJ.ishermitian(H.MatSparse) +@show KaiEDJ.issymmetric(H.MatSparse) @show count(!iszero, H.MatSparse) -eigensys = eigen( collect(H.MatSparse) ) +eigensys = KaiEDJ.eigen( collect(H.MatSparse) ) for evitem in Iterators.enumerate( eigensys.values ) @show evitem diff --git a/tutorials/07_manybody_hamiltonian_impurity.jl b/tutorials/07_manybody_hamiltonian_impurity.jl index d7e80dd..b10017d 100644 --- a/tutorials/07_manybody_hamiltonian_impurity.jl +++ b/tutorials/07_manybody_hamiltonian_impurity.jl @@ -1,4 +1,5 @@ -include("../src/mybase.jl") +#include("../src/mybase.jl") +using KaiEDJ norb = 1 nspin = 2 @@ -72,7 +73,7 @@ for opca in Op_ebathl end @show H.MatSparse -@show issparse(H.MatSparse) -@show ishermitian(H.MatSparse) -@show issymmetric(H.MatSparse) +@show KaiEDJ.issparse(H.MatSparse) +@show KaiEDJ.ishermitian(H.MatSparse) +@show KaiEDJ.issymmetric(H.MatSparse) @show count(!iszero, H.MatSparse) diff --git a/tutorials/08_green_function_impurity_continued_fraction.jl b/tutorials/08_green_function_impurity_continued_fraction.jl index e1c6c50..03fa164 100644 --- a/tutorials/08_green_function_impurity_continued_fraction.jl +++ b/tutorials/08_green_function_impurity_continued_fraction.jl @@ -1,4 +1,5 @@ -include("../src/mybase.jl") +#include("../src/mybase.jl") +using KaiEDJ ### Impurity Setup ### norb = 1 @@ -37,7 +38,7 @@ for i in 1:nspinorb end end # @show Vil -println( "Vil : " ) ; writedlm(stdout, Vil) +println( "Vil : " ) ; KaiEDJ.writedlm(stdout, Vil) IndOrbUp = [ i for i in 1:2:2*norb ] IndOrbDn = [ i for i in 2:2:2*norb ] @@ -45,8 +46,8 @@ IndBathUp = [ i for i in 1:2:2*nbathHalf ] IndBathDn = [ i for i in 2:2:2*nbathHalf ] VilUp = Vil[ IndOrbUp, IndBathUp ] VilDn = Vil[ IndOrbDn, IndBathDn ] -println( "Vil Up : " ) ; writedlm(stdout, VilUp) -println( "Vil Dn : " ) ; writedlm(stdout, VilDn) +println( "Vil Up : " ) ; KaiEDJ.writedlm(stdout, VilUp) +println( "Vil Dn : " ) ; KaiEDJ.writedlm(stdout, VilDn) @@ -73,7 +74,7 @@ enew, vnew = BathParamReshapePH( BParamUpPH, nbathHalf ) println( "" ) println( "Initial-parameters :") println( "ebathl after PH : $(enew)" ) -println( "Vil Up after PH : " ) ; writedlm(stdout, vnew) +println( "Vil Up after PH : " ) ; KaiEDJ.writedlm(stdout, vnew) println( "" ) SParam = ( Hybiw, @@ -85,9 +86,9 @@ SParam = ( ### Optimizer ## -using Optimization +using KaiEDJ.Optimization prob = OptimizationProblem(GetCostFromFlatPH, BParamUpPH, SParam) -using OptimizationOptimJL +using KaiEDJ.OptimizationOptimJL maxiters = 2300 sol = solve(prob, NelderMead() ; maxiters=maxiters) @show sol.original @@ -96,7 +97,7 @@ BParamNew = [ sol... ] enew, vnew = BathParamReshapePH( BParamNew, nbathHalf ) println("New parameters for Up") @show enew -writedlm(stdout, vnew) +KaiEDJ.writedlm(stdout, vnew) @@ -125,7 +126,7 @@ BParamDnNew = [ sol... ] ednnew, vdnnew = BathParamReshapePH( BParamDnNew, nbathHalf ) println("New parameters for Dn") @show ednnew -writedlm(stdout, vdnnew) +KaiEDJ.writedlm(stdout, vdnnew) println("New parameters in total") ebathl = zero(ebathl) @@ -137,7 +138,7 @@ Vil[ IndOrbUp, IndBathUp ] = deepcopy(vnew) Vil[ IndOrbDn, IndBathDn ] = deepcopy(vdnnew) Vil[ IndOrbDn, IndBathDn ] = deepcopy(vnew) ## Impose time-reversal sym naively @show ebathl -writedlm(stdout, Vil) +KaiEDJ.writedlm(stdout, Vil) @@ -231,14 +232,14 @@ for opca in Op_tij ConstructHamil_ij!( H, opca, HashF, HashFInv ; outputlevel=outputlevel) end -@show issparse(H.MatSparse) +@show KaiEDJ.issparse(H.MatSparse) @show H.MatSparse -@show ishermitian(H.MatSparse) -@show issymmetric(H.MatSparse) +@show KaiEDJ.ishermitian(H.MatSparse) +@show KaiEDJ.issymmetric(H.MatSparse) @show count(!iszero, H.MatSparse) @show size(H.MatSparse) -using Arpack +using KaiEDJ.Arpack nev = 10 esAr = eigs( H.MatSparse ; which=:SR , nev = nev ) @@ -253,7 +254,7 @@ println("diff : ", real(esAr[1] .- esAr[1][1]) ) println("") println("Ground-states : ") -println( format("nconv = {}, niter = {} , nmult = {}" ,esAr[3], esAr[4], esAr[5] ) ) +println( KaiEDJ.format("nconv = {}, niter = {} , nmult = {}" ,esAr[3], esAr[4], esAr[5] ) ) nconvAr = esAr[3] gsarr = Vector{Any}(undef,nconvAr) OpSz = GetOpSz(ntot) @@ -263,18 +264,18 @@ Szorbval = Vector{ComplexF64}(undef,nconvAr) for i in 1:nconvAr gsarr[i] = esAr[2][:,i] prob_i, indBin = findmax( abs.(gsarr[i]) ) - println( format("GS $i : Maximal basis states = {} [{}] N={} p={}", + println( KaiEDJ.format("GS $i : Maximal basis states = {} [{}] N={} p={}", HashF[indBin], getbittaili(HashF[indBin]), OpNtot(HashF[indBin]), prob_i )) end println("") for i in 1:nconvAr gsarr[i] = esAr[2][:,i] prob_i, indBin = findmax( abs.(gsarr[i]) ) - println( format("GS $i : Maximal basis states = {} [{}] N={} p={}", + println( KaiEDJ.format("GS $i : Maximal basis states = {} [{}] N={} p={}", HashF[indBin], getbittaili(HashF[indBin]), OpNtot(HashF[indBin]), prob_i )) gswf = WF(dimSub, HashF, gsarr[i], wfargs... ) gswfres = WF(dimSub, HashF, wfargs... ) - gswf.Probamp = collect( dropzeros!( sparse(gswf.Probamp) ) ) + gswf.Probamp = collect( KaiEDJ.dropzeros!( KaiEDJ.sparse(gswf.Probamp) ) ) for opca in OpSz @@ -397,7 +398,7 @@ yr2 = GetijarrayFromVecMat( yr2, 1, 1 ) bPlot=true if bPlot - using Plots + using KaiEDJ.Plots # writedlm( "log", [ wFreq imag(ydat1) imag(ydat2) imag(ydat1+ydat2) ] ) plot( wFreq, [ imag(ydat) imag(yr2) ] ) end diff --git a/tutorials/08a_green_function_impurity_continued_fraction_iw.jl b/tutorials/08a_green_function_impurity_continued_fraction_iw.jl index abfe23e..81c9bf9 100644 --- a/tutorials/08a_green_function_impurity_continued_fraction_iw.jl +++ b/tutorials/08a_green_function_impurity_continued_fraction_iw.jl @@ -1,4 +1,7 @@ -include("../src/mybase.jl") +#include("../src/mybase.jl") +using KaiEDJ +using KaiEDJ: Printf, Format +using DelimitedFiles ### Impurity Setup ### norb = 1 @@ -86,15 +89,15 @@ SParam = ( ### Optimizer ## -using Optimization -prob = OptimizationProblem(GetCostFromFlatPH, BParam, SParam) -using OptimizationOptimJL +# using Optimization +prob = KaiEDJ.OptimizationProblem(KaiEDJ.GetCostFromFlatPH, BParam, SParam) +# using OptimizationOptimJL maxiters = 2300 -sol = solve(prob, NelderMead() ; maxiters=maxiters) +sol = KaiEDJ.OptimizationOptimJL.solve(prob, KaiEDJ.OptimizationOptimJL.NelderMead() ; maxiters=maxiters) @show sol.original BParamNew = [ sol... ] -enew, vnew = BathParamReshapePH( BParamNew, nbathHalf ) +enew, vnew = KaiEDJ.BathParamReshapePH( BParamNew, nbathHalf ) println("New parameters for Up") @show enew writedlm(stdout, vnew) @@ -103,28 +106,28 @@ writedlm(stdout, vnew) println("## Spin-dn optimization ##") ## Setting BParam ## -BParamDn = BathParamFlatten( ebathlDn, VilDn ) -BParamDnPH = BathParamFlatten( ebathlDn[1:div(end,2)], VilDn ) +BParamDn = KaiEDJ.BathParamFlatten( ebathlDn, VilDn ) +BParamDnPH = KaiEDJ.BathParamFlatten( ebathlDn[1:div(end,2)], VilDn ) BParam = BParamDnPH println("Initial-parameters :") -@show BathParamReshapePH( BParam, nbathHalf ) +@show KaiEDJ.BathParamReshapePH( BParam, nbathHalf ) ## Setting SParam ## -Hybiw = 1. / 4 * GetGzBetheUniformScaling.( ImFreqGrid ) +Hybiw = 1. / 4 * KaiEDJ.GetGzBetheUniformScaling.( ImFreqGrid ) SParam = ( Hybiw, ImFreqGrid, norb, # nspinorb, nbathHalf ) -@time cost = GetCostFromFlatPH( BParam, SParam ) +@time cost = KaiEDJ.GetCostFromFlatPH( BParam, SParam ) println( "initial cost : $(cost) " ) -prob = OptimizationProblem(GetCostFromFlatPH, BParam, SParam) -sol = solve(prob, NelderMead()) +prob = KaiEDJ.OptimizationProblem(KaiEDJ.GetCostFromFlatPH, BParam, SParam) +sol = KaiEDJ.OptimizationOptimJL.solve(prob, KaiEDJ.OptimizationOptimJL.NelderMead()) @show sol.original BParamDnNew = [ sol... ] -ednnew, vdnnew = BathParamReshapePH( BParamDnNew, nbathHalf ) +ednnew, vdnnew = KaiEDJ.BathParamReshapePH( BParamDnNew, nbathHalf ) println("New parameters for Dn") @show ednnew writedlm(stdout, vdnnew) @@ -146,11 +149,11 @@ writedlm(stdout, Vil) ### Binary Basis ### println("## Hashing index to binary-basis ##" ) outputlevel = 0 -hashfsec = HashingIntToSecarrBin(;norb=ntot, outputlevel=outputlevel) -hashfinvsec = HashingInvSecarrBinToAllNparInt( hashfsec ; outputlevel=outputlevel) -hashfinv = HashingInvSecarrBinToInt( hashfsec ; outputlevel=outputlevel) -hashfall = HashingIntToBinall(;norb=ntot, outputlevel=outputlevel) -hashfallinv = HashingInvBinallToInt( hashfall ; outputlevel=outputlevel) +hashfsec = KaiEDJ.HashingIntToSecarrBin(;norb=ntot, outputlevel=outputlevel) +hashfinvsec = KaiEDJ.HashingInvSecarrBinToAllNparInt( hashfsec ; outputlevel=outputlevel) +hashfinv = KaiEDJ.HashingInvSecarrBinToInt( hashfsec ; outputlevel=outputlevel) +hashfall = KaiEDJ.HashingIntToBinall(;norb=ntot, outputlevel=outputlevel) +hashfallinv = KaiEDJ.HashingInvBinallToInt( hashfall ; outputlevel=outputlevel) println("## end of Hashing index ##" ) @@ -159,7 +162,7 @@ println("## end of Hashing index ##" ) println( "\n## Ordering hashfall ##") hashfallOrdered = vcat( hashfsec... ) # @show hashfallOrdered -hashfallOrderedInv = HashingInvBinallToInt( hashfallOrdered ; outputlevel=outputlevel) +hashfallOrderedInv = KaiEDJ.HashingInvBinallToInt( hashfallOrdered ; outputlevel=outputlevel) dimSub = length(hashfallOrdered) HashF = hashfallOrdered HashFInv = hashfallOrderedInv @@ -233,17 +236,17 @@ for opca in Op_tij ConstructHamil_ij!( H, opca, HashF, HashFInv ; outputlevel=outputlevel) end -@show issparse(H.MatSparse) +@show KaiEDJ.issparse(H.MatSparse) @show H.MatSparse -@show ishermitian(H.MatSparse) -@show issymmetric(H.MatSparse) +@show KaiEDJ.ishermitian(H.MatSparse) +@show KaiEDJ.issymmetric(H.MatSparse) @show count(!iszero, H.MatSparse) @show size(H.MatSparse) -using Arpack +# using Arpack nev = 10 -esAr = eigs( H.MatSparse ; which=:SR , nev = nev ) +esAr = KaiEDJ.Arpack.eigs( H.MatSparse ; which=:SR , nev = nev ) println("Eigensystem from eigs()") @show typeof(esAr) @@ -255,7 +258,7 @@ println("diff : ", real(esAr[1] .- esAr[1][1]) ) println("") println("Ground-states : ") -println( format("nconv = {}, niter = {} , nmult = {}" ,esAr[3], esAr[4], esAr[5] ) ) +println( Format.format("nconv = {}, niter = {} , nmult = {}" ,esAr[3], esAr[4], esAr[5] ) ) nconvAr = esAr[3] gsarr = Vector{Any}(undef,nconvAr) OpSz = GetOpSz(ntot) @@ -265,31 +268,31 @@ Szorbval = Vector{ComplexF64}(undef,nconvAr) for i in 1:nconvAr gsarr[i] = esAr[2][:,i] prob_i, indBin = findmax( abs.(gsarr[i]) ) - println( format("GS $i : Maximal basis states = {} [{}] N={} p={}", + println( Format.format("GS $i : Maximal basis states = {} [{}] N={} p={}", HashF[indBin], getbittaili(HashF[indBin]), OpNtot(HashF[indBin]), prob_i )) end println("") for i in 1:nconvAr gsarr[i] = esAr[2][:,i] prob_i, indBin = findmax( abs.(gsarr[i]) ) - println( format("GS $i : Maximal basis states = {} [{}] N={} p={}", + println( Format.format("GS $i : Maximal basis states = {} [{}] N={} p={}", HashF[indBin], getbittaili(HashF[indBin]), OpNtot(HashF[indBin]), prob_i )) gswf = WF(dimSub, HashF, gsarr[i], wfargs... ) gswfres = WF(dimSub, HashF, wfargs... ) - gswf.Probamp = collect( dropzeros!( sparse(gswf.Probamp) ) ) + gswf.Probamp = collect( KaiEDJ.dropzeros!( KaiEDJ.sparse(gswf.Probamp) ) ) for opca in OpSz - OpCAWFadd( opca, gswf, gswfres ; outputlevel = 0) + KaiEDJ.OpCAWFadd( opca, gswf, gswfres ; outputlevel = 0) end Sztot_i = WFInner( gswf, gswfres ) println( " : = ", Sztot_i ) for opca in OpSzOrb - OpCAWFadd( opca, gswf, gswfres ; outputlevel = 0) + KaiEDJ.OpCAWFadd( opca, gswf, gswfres ; outputlevel = 0) end gswfres.Probamp = zero(gswfres.Probamp) - Szorb_i = WFInner( gswf, gswfres ) + Szorb_i = KaiEDJ.WFInner( gswf, gswfres ) println( " : = ", Szorb_i ) Sztotval[i] += Sztot_i @@ -384,9 +387,12 @@ yr2 = GetijarrayFromVecMat( yr2, 1, 1 ) bPlot=true if bPlot - using Plots + using KaiEDJ: Plots # writedlm( "log", [ ImFreqGridVal imag(ydat1) imag(ydat2) imag(ydat1+ydat2) ] ) - plot( ImFreqGridVal, [ imag(ydat) imag(yr2) ] ) + Plots.plot( ImFreqGridVal, [ imag(ydat) imag(yr2) ] ) + Plots.title!("Green's Function Plot") + Plots.xlabel!("Frequency") + Plots.ylabel!("Imaginary Part") end diff --git a/tutorials/09_green_function_bethe.ipynb b/tutorials/09_green_function_bethe.ipynb index 68bdc71..0313a1d 100644 --- a/tutorials/09_green_function_bethe.ipynb +++ b/tutorials/09_green_function_bethe.ipynb @@ -31,13 +31,6 @@ "scrolled": false }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/dmft/ed/github/KaiED/envs/KED`\n" - ] - }, { "name": "stdout", "output_type": "stream", @@ -60,13 +53,7 @@ " -1.076585449695434 - 0.02190977195522146im\n", " -1.2734973631664042 - 0.060509510641305664im\n", " -1.3732223349744168 - 0.3255621275916153im\n", - " -1.3544394512583309 - 0.48790960630658536im\n", - " -1.3281185767657613 - 0.6133064165776234im\n", - " -1.298392902748452 - 0.7211728540069806im\n", " ⋮\n", - " 1.6866045998728314 - 2.191067640349622im\n", - " 2.118109001546417 - 1.9669145793301281im\n", - " 2.6194134618141214 - 1.4791623852532783im\n", " 2.583417359159053 - 0.25079040806820724im\n", " 1.8898100952165202 - 0.06756973089276337im\n", " 1.5802224733539905 - 0.03908077183688098im\n", @@ -78,14 +65,14 @@ " 0.9015844153330187 - 0.009517951948724707im" ] }, - "execution_count": 1, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "ENV[\"PROJECT_PATH_ED\"]=\"../envs/KED\"\n", - "include(\"../src/mybase.jl\")\n", + "# ENV[\"PROJECT_PATH_ED\"]=\"../envs/KED\"\n", + "# include(\"../src/mybase.jl\")\n", + "using KaiEDJ\n", "\n", "epsilon = 0.01\n", "\n", @@ -115,320 +102,47 @@ }, "outputs": [ { - "data": { - "image/png": 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./loading.jl:2296 [inlined]\n", + " [2] macro expansion\n", + " @ ./lock.jl:273 [inlined]\n", + " [3] __require(into::Module, mod::Symbol)\n", + " @ Base ./loading.jl:2271\n", + " [4] #invoke_in_world#3\n", + " @ ./essentials.jl:1089 [inlined]\n", + " [5] invoke_in_world\n", + " @ ./essentials.jl:1086 [inlined]\n", + " [6] require(into::Module, mod::Symbol)\n", + " @ Base ./loading.jl:2260\n", + " [7] eval\n", + " @ ./boot.jl:430 [inlined]\n", + " [8] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)\n", + " @ Base ./loading.jl:2734\n", + " [9] #invokelatest#2\n", + " @ ./essentials.jl:1055 [inlined]\n", + " [10] invokelatest\n", + " @ ./essentials.jl:1052 [inlined]\n", + " [11] (::VSCodeServer.var\"#217#218\"{VSCodeServer.NotebookRunCellArguments, String})()\n", + " @ VSCodeServer ~/.vscode-server/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/serve_notebook.jl:24\n", + " [12] withpath(f::VSCodeServer.var\"#217#218\"{VSCodeServer.NotebookRunCellArguments, String}, path::String)\n", + " @ VSCodeServer ~/.vscode-server/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/repl.jl:276\n", + " [13] notebook_runcell_request(conn::VSCodeServer.JSONRPC.JSONRPCEndpoint{Base.PipeEndpoint, Base.PipeEndpoint}, params::VSCodeServer.NotebookRunCellArguments)\n", + " @ VSCodeServer ~/.vscode-server/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/serve_notebook.jl:13\n", + " [14] dispatch_msg(x::VSCodeServer.JSONRPC.JSONRPCEndpoint{Base.PipeEndpoint, Base.PipeEndpoint}, dispatcher::VSCodeServer.JSONRPC.MsgDispatcher, msg::Dict{String, Any})\n", + " @ VSCodeServer.JSONRPC ~/.vscode-server/extensions/julialang.language-julia-1.127.2/scripts/packages/JSONRPC/src/typed.jl:67\n", + " [15] serve_notebook(pipename::String, debugger_pipename::String, outputchannel_logger::Base.CoreLogging.SimpleLogger; error_handler::var\"#5#10\"{String})\n", + " @ VSCodeServer ~/.vscode-server/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/serve_notebook.jl:147\n", + " [16] top-level scope\n", + " @ ~/.vscode-server/extensions/julialang.language-julia-1.127.2/scripts/notebook/notebook.jl:35" + ] } ], "source": [ @@ -441,329 +155,22 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 3, "id": "f2cb50e4", "metadata": {}, "outputs": [ { - "data": { - "image/png": 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/gpfs/hongkeeyoon/workspace2/KaiED_tutorials/tutorials/jl_notebook_cell_df34fa98e69747e1a8f8a730347b8e2f_W3sdnNjb2RlLXJlbW90ZQ==.jl:2" + ] } ], "source": [ @@ -782,15 +189,15 @@ ], "metadata": { "kernelspec": { - "display_name": "Julia 1.9.3", + "display_name": "Julia 1.11.3", "language": "julia", - "name": "julia-1.9" + "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", - "version": "1.9.3" + "version": "1.11.3" } }, "nbformat": 4, diff --git a/tutorials/09_green_function_bethe.jl b/tutorials/09_green_function_bethe.jl index 05a9cd2..db43f54 100644 --- a/tutorials/09_green_function_bethe.jl +++ b/tutorials/09_green_function_bethe.jl @@ -1,4 +1,5 @@ -include("../src/mybase.jl") +#include("../src/mybase.jl") +using KaiEDJ epsilon = 0.01 diff --git a/tutorials/10_green_function_tight_binding.ipynb b/tutorials/10_green_function_tight_binding.ipynb index f96b6d9..a0013c5 100644 --- a/tutorials/10_green_function_tight_binding.ipynb +++ b/tutorials/10_green_function_tight_binding.ipynb @@ -16,17 +16,24 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 4, "id": "62cc00ce", "metadata": {}, + "outputs": [], + "source": [ + "# ENV[\"PROJECT_PATH_ED\"]=\"../envs/KED\"\n", + "# include(\"../src/mybase.jl\")\n", + "\n", + "using KaiEDJ\n", + "using KaiEDJ: I, Plots, read_wann90\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "5f5bc155", + "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/dmft/ed/github/KaiED/envs/KED`\n" - ] - }, { "name": "stdout", "output_type": "stream", @@ -41,8 +48,6 @@ } ], "source": [ - "ENV[\"PROJECT_PATH_ED\"]=\"../envs/KED\"\n", - "include(\"../src/mybase.jl\")\n", "\n", "hr = read_wann90( \"ex_wann_1d_2sites.dat\" )\n", "\n", @@ -56,14 +61,1075 @@ }, { "cell_type": "code", - 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-1.9926639819911527 + 0.12090582640000638im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9923303960313472 - 0.12361385485563336im; -1.9923303960313472 + 0.12361385485563336im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9919856635616953 - 0.1263504779890566im; -1.9919856635616953 + 0.1263504779890566im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.991629546446301 - 0.12911561723782056im; -1.991629546446301 + 0.12911561723782056im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9912618044895125 - 0.13190919209894145im; -1.9912618044895125 + 0.13190919209894145im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.990882195458847 - 0.13473112009723556im; -1.990882195458847 + 0.13473112009723556im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.990490475108353 - 0.13758131675350907im; -1.990490475108353 + 0.13758131675350907im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9900863972024179 - 0.14045969555262577im; -1.9900863972024179 + 0.14045969555262577im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9896697135400203 - 0.14336616791145057im; -1.9896697135400203 + 0.14336616791145057im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9892401739794368 - 0.14630064314668542im; -1.9892401739794368 + 0.14630064314668542im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9887975264634026 - 0.14926302844260128im; -1.9887975264634026 + 0.14926302844260128im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9883415170447356 - 0.1522532288186719im; -1.9883415170447356 + 0.1522532288186719im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9878718899124235 - 0.15527114709712492im; -1.9878718899124235 + 0.15527114709712492im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9873883874181815 - 0.15831668387040954im; -1.9873883874181815 + 0.15831668387040954im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.986890750103484 - 0.16138973746859595im; -1.986890750103484 + 0.16138973746859595im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9863787167270734 - 0.16449020392671349im; -1.9863787167270734 + 0.16449020392671349im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9858520242929503 - 0.1676179769520327im; -1.9858520242929503 + 0.1676179769520327im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9853104080788522 - 0.1707729478913043im; -1.9853104080788522 + 0.1707729478913043im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9847536016652196 - 0.17395500569796207im; -1.9847536016652196 + 0.17395500569796207im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9841813369646593 - 0.17716403689929783im; -1.9841813369646593 + 0.17716403689929783im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.983593344251902 - 0.18039992556361903im; -1.983593344251902 + 0.18039992556361903im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.982989352194265 - 0.18366255326739633im; -1.982989352194265 + 0.18366255326739633im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.982369087882618 - 0.186951799062414im; -1.982369087882618 + 0.186951799062414im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9817322768628598 - 0.1902675394429255im; -1.9817322768628598 + 0.1902675394429255im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9810786431679066 - 0.19360964831283362im; -1.9810786431679066 + 0.19360964831283362im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9804079093501978 - 0.19697799695289364im; -1.9804079093501978 + 0.19697799695289364im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9797197965147193 - 0.20037245398795966im; -1.9797197965147193 + 0.20037245398795966im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.979014024352552 - 0.20379288535427503im; -1.979014024352552 + 0.20379288535427503im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9782903111749455 - 0.20723915426682368im; -1.9782903111749455 + 0.20723915426682368im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9775483739479207 - 0.21071112118674748im; -1.9775483739479207 + 0.21071112118674748im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9767879283274057 - 0.21420864378884208im; -1.9767879283274057 + 0.21420864378884208im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9760086886949058 - 0.21773157692914125im; -1.9760086886949058 + 0.21773157692914125im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9752103681937125 - 0.2212797726125985im; -1.9752103681937125 + 0.2212797726125985im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9743926787656538 - 0.22485307996087947im; -1.9743926787656538 + 0.22485307996087947im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.973555331188384 - 0.2284513451802717im; -1.973555331188384 + 0.2284513451802717im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9726980351132268 - 0.23207441152972463im; -1.9726980351132268 + 0.23207441152972463im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9718204991035577 - 0.23572211928903117im; -1.9718204991035577 + 0.23572211928903117im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.970922430673744 - 0.2393943057271591im; -1.970922430673744 + 0.2393943057271591im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9700035363286346 - 0.24309080507074576im; -1.9700035363286346 + 0.24309080507074576im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9690635216036023 - 0.24681144847276495im; -1.9690635216036023 + 0.24681144847276495im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9681020911051474 - 0.25055606398137925im; -1.9681020911051474 + 0.25055606398137925im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.967118948552054 - 0.25432447650898543im; -1.967118948552054 + 0.25432447650898543im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.966113796817111 - 0.2581165078014691im; -1.966113796817111 + 0.2581165078014691im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9650863379693906 - 0.2619319764076754im; -1.9650863379693906 + 0.2619319764076754im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9640362733170915 - 0.2657706976491087im; -1.9640362733170915 + 0.2657706976491087im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9629633034509444 - 0.2696324835898752im; -1.9629633034509444 + 0.2696324835898752im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9618671282881834 - 0.2735171430068752im; -1.9618671282881834 + 0.2735171430068752im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.960747447117082 - 0.27742448136026027im; -1.960747447117082 + 0.27742448136026027im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9596039586420566 - 0.2813543007641685im; -1.9596039586420566 + 0.2813543007641685im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9584363610293345 - 0.28530639995774226im; -1.9584363610293345 + 0.28530639995774226im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9572443519531921 - 0.28928057427645054im; -1.9572443519531921 + 0.28928057427645054im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.956027628642759 - 0.2932766156237194im; -1.956027628642759 + 0.2932766156237194im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9547858879293885 - 0.2972943124428874im; -1.9547858879293885 + 0.2972943124428874im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9535188262945986 - 0.3013334496894945im; -1.9535188262945986 + 0.3013334496894945im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9522261399185767 - 0.305393808803923im; -1.9522261399185767 + 0.305393808803923im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9509075247292542 - 0.30947516768439265im; -1.9509075247292542 + 0.30947516768439265im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.949562676451944 - 0.3135773006603324im; -1.949562676451944 + 0.3135773006603324im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9481912906595467 - 0.31769997846613557im; -1.9481912906595467 + 0.31769997846613557im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9467930628233177 - 0.32184296821531017im; -1.9467930628233177 + 0.32184296821531017im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9453676883642 - 0.3260060333750423im; -1.9453676883642 + 0.3260060333750423im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9439148627047165 - 0.3301889337411779im; -1.9439148627047165 + 0.3301889337411779im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9424342813214261 - 0.3343914254136416im; -1.9424342813214261 + 0.3343914254136416im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9409256397979326 - 0.33861326077230214im; -1.9409256397979326 + 0.33861326077230214im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9393886338784558 - 0.34285418845329646im; -1.9393886338784558 + 0.34285418845329646im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9378229595219523 - 0.3471139533258299im; -1.9378229595219523 + 0.3471139533258299im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9362283129567923 - 0.35139229646945624im; -1.9362283129567923 + 0.35139229646945624im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9346043907359824 - 0.35568895515186194im; -1.9346043907359824 + 0.35568895515186194im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9329508897929357 - 0.360003662807157im; -1.9329508897929357 + 0.360003662807157im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9312675074977887 - 0.364336149014692im; -1.9312675074977887 + 0.364336149014692im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9295539417142535 - 0.36868613947841034im; -1.9295539417142535 + 0.36868613947841034im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9278098908570112 - 0.3730533560067528im; -1.9278098908570112 + 0.3730533560067528im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9260350539496358 - 0.37743751649312113im; -1.9260350539496358 + 0.37743751649312113im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.924229130683051 - 0.38183833489691926im; -1.924229130683051 + 0.38183833489691926im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9223918214745086 - 0.38625552122518325im; -1.9223918214745086 + 0.38625552122518325im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9205228275270914 - 0.39068878151481223im; -1.9205228275270914 + 0.39068878151481223im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9186218508897297 - 0.39513781781541363im; -1.9186218508897297 + 0.39513781781541363im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9166885945177332 - 0.399602328172776im; -1.9166885945177332 + 0.399602328172776im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9147227623338268 - 0.4040820066129812im; -1.9147227623338268 + 0.4040820066129812im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.91272405928969 - 0.4085765431271729im; -1.91272405928969 + 0.4085765431271729im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.910692191427991 - 0.4130856236569886im; -1.910692191427991 + 0.4130856236569886im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.908626865944914 - 0.4176089300806719im; -1.908626865944914 + 0.4176089300806719im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9065277912531675 - 0.4221461401998765im; -1.9065277912531675 + 0.4221461401998765im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9043946770454745 - 0.42669692772717727im; -1.9043946770454745 + 0.42669692772717727im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.902227234358533 - 0.43126096227429705im; -1.902227234358533 + 0.43126096227429705im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9000251756374427 - 0.4358379093410654im; -1.9000251756374427 + 0.4358379093410654im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8977882148005882 - 0.440427430305122im; -1.8977882148005882 + 0.440427430305122im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8955160673049782 - 0.44502918241237366im; -1.8955160673049782 + 0.44502918241237366im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8932084502120232 - 0.44964281876822565im; -1.8932084502120232 + 0.44964281876822565im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8908650822537538 - 0.45426798832959003im; -1.8908650822537538 + 0.45426798832959003im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.888485683899465 - 0.45890433589769003im; -1.888485683899465 + 0.45890433589769003im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8860699774227823 - 0.463551502111675im; -1.8860699774227823 + 0.463551502111675im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.883617686969139 - 0.46820912344304955im; -1.883617686969139 + 0.46820912344304955im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8811285386236563 - 0.4728768321909414im; -1.8811285386236563 + 0.4728768321909414im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8786022604794201 - 0.47755425647820704im; -1.8786022604794201 + 0.47755425647820704im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8760385827061392 - 0.4822410202484014im; -1.8760385827061392 + 0.4822410202484014im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8734372376191835 - 0.4869367432636095im; -1.8734372376191835 + 0.4869367432636095im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8707979597489843 - 0.49164104110316764im; -1.8707979597489843 + 0.49164104110316764im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8681204859107945 - 0.4963535251632714im; -1.8681204859107945 + 0.4963535251632714im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8654045552747918 - 0.5010738026574925im; -1.8654045552747918 + 0.5010738026574925im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.86264990943652 - 0.5058014766182118im; -1.86264990943652 + 0.5058014766182118im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8598562924876518 - 0.510536145898985im; -1.8598562924876518 + 0.510536145898985im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.857023451087069 - 0.5152774051778424im; -1.857023451087069 + 0.5152774051778424im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.854151134532243 - 0.5200248449615482im; -1.854151134532243 + 0.5200248449615482im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8512390948309072 - 0.5247780515908204im; -1.8512390948309072 + 0.5247780515908204im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8482870867730092 - 0.5295366072465255im; -1.8482870867730092 + 0.5295366072465255im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8452948680029284 - 0.5343000899568628im; -1.8452948680029284 + 0.5343000899568628im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8422621990919514 - 0.539068073605542im; -1.8422621990919514 + 0.539068073605542im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8391888436109878 - 0.5438401279409723im; -1.8391888436109878 + 0.5438401279409723im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8360745682035167 - 0.5486158185864703im; -1.8360745682035167 + 0.5486158185864703im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8329191426587492 - 0.5533947070514988im; -1.8329191426587492 + 0.5533947070514988im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8297223399849953 - 0.5581763507439417im; -1.8297223399849953 + 0.5581763507439417im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8264839364832193 - 0.5629603029834359im; -1.8264839364832193 + 0.5629603029834359im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8232037118207725 - 0.5677461130157587im; -1.8232037118207725 + 0.5677461130157587im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8198814491052864 - 0.5725333260282895im; -1.8198814491052864 + 0.5725333260282895im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.816516934958714 - 0.5773214831665517im; -1.816516934958714 + 0.5773214831665517im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.813109959591506 - 0.5821101215518414im; -1.813109959591506 + 0.5821101215518414im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8096603168768999 - 0.5868987742999623im; -1.8096603168768999 + 0.5868987742999623im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.806167804425319 - 0.5916869705410629im; -1.806167804425319 + 0.5916869705410629im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8026322236588537 - 0.5964742354405963im; -1.8026322236588537 + 0.5964742354405963im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.799053379885817 - 0.601260090221405im; -1.799053379885817 + 0.601260090221405im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.795431082375357 - 0.6060440521869414im; -1.795431082375357 + 0.6060440521869414im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.791765144432107 - 0.6108256347456325im; -1.791765144432107 + 0.6108256347456325im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7880553834708635 - 0.6156043474363954im; -1.7880553834708635 + 0.6156043474363954im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7843016210912683 - 0.6203796959553146im; -1.7843016210912683 + 0.6203796959553146im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7805036831524803 - 0.6251511821834882im; -1.7805036831524803 + 0.6251511821834882im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7766613998478251 - 0.6299183042160441im; -1.7766613998478251 + 0.6299183042160441im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7727746057793985 - 0.6346805563923439im; -1.7727746057793985 + 0.6346805563923439im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7688431400326063 - 0.6394374293273752im; -1.7688431400326063 + 0.6394374293273752im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.76486684625063 - 0.6441884099443383im; -1.76486684625063 + 0.6441884099443383im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7608455727087926 - 0.6489329815084371im; -1.7608455727087926 + 0.6489329815084371im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.756779172388808 - 0.6536706236618797im; -1.756779172388808 + 0.6536706236618797im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7526675030529038 - 0.6584008124600904im; -1.7526675030529038 + 0.6584008124600904im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.748510427317782 - 0.6631230204091478im; -1.748510427317782 + 0.6631230204091478im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7443078127284184 - 0.6678367165044443im; -1.7443078127284184 + 0.6678367165044443im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7400595318316667 - 0.672541366270577im; -1.7400595318316667 + 0.672541366270577im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7357654622496548 - 0.6772364318024777im; -1.7357654622496548 + 0.6772364318024777im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7314254867529528 - 0.681921371807781im; -1.7314254867529528 + 0.681921371807781im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7270394933334976 - 0.6865956416504339im; -1.7270394933334976 + 0.6865956416504339im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7226073752772384 - 0.6912586933955627im; -1.7226073752772384 + 0.6912586933955627im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7181290312365074 - 0.6959099758555809im; -1.7181290312365074 + 0.6959099758555809im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7136043653020754 - 0.7005489346375613im; -1.7136043653020754 + 0.7005489346375613im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7090332870748797 - 0.705175012191861im; -1.7090332870748797 + 0.705175012191861im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7044157117374046 - 0.7097876478620108im; -1.7044157117374046 + 0.7097876478620108im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6997515601246935 - 0.7143862779358638im; -1.6997515601246935 + 0.7143862779358638im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.695040758794968 - 0.718970335698014im; -1.695040758794968 + 0.718970335698014im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6902832400998378 - 0.7235392514834765im; -1.6902832400998378 + 0.7235392514834765im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6854789422540777 - 0.7280924527326393im; -1.6854789422540777 + 0.7280924527326393im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6806278094049518 - 0.732629364047481im; -1.6806278094049518 + 0.732629364047481im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6757297917010587 - 0.7371494072490622im; -1.6757297917010587 + 0.7371494072490622im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6707848453606873 - 0.7416520014362793im; -1.6707848453606873 + 0.7416520014362793im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.665792932739646 - 0.7461365630458954im; -1.665792932739646 + 0.7461365630458954im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6607540223985575 - 0.7506025059138337im; -1.6607540223985575 + 0.7506025059138337im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.655668089169589 - 0.755049241337742im; -1.655668089169589 + 0.755049241337742im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.650535114222599 - 0.7594761781408224im; -1.650535114222599 + 0.7594761781408224im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6453550851306744 - 0.7638827227369264im; -1.6453550851306744 + 0.7638827227369264im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6401279959350457 - 0.7682682791969105im; -1.6401279959350457 + 0.7682682791969105im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6348538472093441 - 0.7726322493162544im; -1.6348538472093441 + 0.7726322493162544im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.629532646123188 - 0.7769740326839354im; -1.629532646123188 + 0.7769740326839354im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6241644065050727 - 0.7812930267525561im; -1.6241644065050727 + 0.7812930267525561im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.618749148904544 - 0.785588626909722im; -1.618749148904544 + 0.785588626909722im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.613286900653626 - 0.7898602265506661im; -1.613286900653626 + 0.7898602265506661im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6077776959274863 - 0.7941072171521149im; -1.6077776959274863 + 0.7941072171521149im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6022215758043155 - 0.7983289883473899im; -1.6022215758043155 + 0.7983289883473899im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5966185883243968 - 0.8025249280027404im; -1.5966185883243968 + 0.8025249280027404im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5909687885483397 - 0.8066944222949034im; -1.5909687885483397 + 0.8066944222949034im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.58527223861446 - 0.81083685578988im; -1.58527223861446 + 0.81083685578988im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5795290077952842 - 0.8149516115229256im; -1.5795290077952842 + 0.8149516115229256im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5737391725531455 - 0.8190380710797465im; -1.5737391725531455 + 0.8190380710797465im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5679028165948605 - 0.8230956146788927im; -1.5679028165948605 + 0.8230956146788927im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5620200309254577 - 0.8271236212553403im; -1.5620200309254577 + 0.8271236212553403im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5560909139009302 - 0.8311214685452591im; -1.5560909139009302 + 0.8311214685452591im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.550115571280004 - 0.8350885331719474im; -1.550115571280004 + 0.8350885331719474im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5440941162748807 - 0.839024190732935im; -1.5440941162748807 + 0.839024190732935im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5380266696009464 - 0.8429278158882373im; -1.5380266696009464 + 0.8429278158882373im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.531913359525416 - 0.8467987824497539im; -1.531913359525416 + 0.8467987824497539im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5257543219148912 - 0.8506364634718011im; -1.5257543219148912 + 0.8506364634718011im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5195497002818166 - 0.8544402313427631im; -1.5195497002818166 + 0.8544402313427631im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5132996458297963 - 0.8582094578778574im; -1.5132996458297963 + 0.8582094578778574im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5070043174977614 - 0.8619435144129974im; -1.5070043174977614 + 0.8619435144129974im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.500663882002967 - 0.8656417718997387im; -1.500663882002967 + 0.8656417718997387im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.494278513882779 - 0.8693036010013023im; -1.494278513882779 + 0.8693036010013023im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4878483955352517 - 0.8729283721896548im; -1.4878483955352517 + 0.8729283721896548im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4813737172584562 - 0.8765154558436354im; -1.4813737172584562 + 0.8765154558436354im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.474854677288544 - 0.8800642223481152im; -1.474854677288544 + 0.8800642223481152im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4682914818365267 - 0.8835740421941729im; -1.4682914818365267 + 0.8835740421941729im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4616843451237438 - 0.8870442860802722im; -1.4616843451237438 + 0.8870442860802722im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4550334894159986 - 0.8904743250144275im; -1.4550334894159986 + 0.8904743250144275im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4483391450563483 - 0.8938635304173354im; -1.4483391450563483 + 0.8938635304173354im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4416015504965103 - 0.8972112742264656im; -1.4416015504965103 + 0.8972112742264656im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4348209523268838 - 0.9005169290010832im; -1.4348209523268838 + 0.9005169290010832im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4279976053051466 - 0.9037798680281941im; -1.4279976053051466 + 0.9037798680281941im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4211317723834225 - 0.9069994654293889im; -1.4211317723834225 + 0.9069994654293889im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4142237247339833 - 0.9101750962685725im; -1.4142237247339833 + 0.9101750962685725im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4072737417734804 - 0.913306136660555im; -1.4072737417734804 + 0.913306136660555im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.400282111185671 - 0.9163919638804905im; -1.400282111185671 + 0.9163919638804905im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3932491289426323 - 0.9194319564741379im; -1.3932491289426323 + 0.9194319564741379im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3861750993244308 - 0.9224254943689306im; -1.3861750993244308 + 0.9224254943689306im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.379060334937241 - 0.9253719589858268im; -1.379060334937241 + 0.9253719589858268im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.371905156729881 - 0.9282707333519261im; -1.371905156729881 + 0.9282707333519261im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3647098940087545 - 0.9311212022138273im; -1.3647098940087545 + 0.9311212022138273im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.357474884451178 - 0.9339227521517061im; -1.357474884451178 + 0.9339227521517061im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3502004741170746 - 0.9366747716940903im; -1.3502004741170746 + 0.9366747716940903im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3428870174590173 - 0.9393766514333106im; -1.3428870174590173 + 0.9393766514333106im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3355348773305988 - 0.9420277841416038im; -1.3355348773305988 + 0.9420277841416038im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3281444249931218 - 0.9446275648878416im; -1.3281444249931218 + 0.9446275648878416im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.320716040120576 - 0.9471753911548679im; -1.320716040120576 + 0.9471753911548679im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3132501108029013 - 0.9496706629574118im; -1.3132501108029013 + 0.9496706629574118im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.305747033547513 - 0.9521127829605567im; -1.305747033547513 + 0.9521127829605567im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2982072132790652 - 0.9545011565987409im; -1.2982072132790652 + 0.9545011565987409im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.290631063337456 - 0.9568351921952597im; -1.290631063337456 + 0.9568351921952597im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.283019005474039 - 0.9591143010822464im; -1.283019005474039 + 0.9591143010822464im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2753714698460388 - 0.9613378977211042im; -1.2753714698460388 + 0.9613378977211042im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2676888950091483 - 0.9635053998233644im; -1.2676888950091483 + 0.9635053998233644im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2599717279082985 - 0.9656162284719398im; -1.2599717279082985 + 0.9656162284719398im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2522204238665882 - 0.9676698082427491im; -1.2522204238665882 + 0.9676698082427491im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2444354465723504 - 0.9696655673266817im; -1.2444354465723504 + 0.9696655673266817im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2366172680643537 - 0.9716029376518794im; -1.2366172680643537 + 0.9716029376518794im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2287663687151185 - 0.9734813550062983im; -1.2287663687151185 + 0.9734813550062983im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2208832372123413 - 0.9753002591605299im; -1.2208832372123413 + 0.9753002591605299im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2129683705384116 - 0.9770590939908465im; -1.2129683705384116 + 0.9770590939908465im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2050222739480065 - 0.9787573076024457im; -1.2050222739480065 + 0.9787573076024457im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1970454609437662 - 0.980394352452858im; -1.1970454609437662 + 0.980394352452858im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1890384532500207 - 0.9819696854754936im; -1.1890384532500207 + 0.9819696854754936im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.181001780784574 - 0.9834827682032934im; -1.181001780784574 + 0.9834827682032934im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1729359816285263 - 0.9849330668924554im; -1.1729359816285263 + 0.9849330668924554im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.164841601994134 - 0.9863200526462025im; -1.164841601994134 + 0.9863200526462025im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.156719196190687 - 0.9876432015385642im; -1.156719196190687 + 0.9876432015385642im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1485693265884107 - 0.9889019947381369im; -1.1485693265884107 + 0.9889019947381369im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1403925635803693 - 0.9900959186317919im; -1.1403925635803693 + 0.9900959186317919im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1321894855423793 - 0.9912244649482987im; -1.1321894855423793 + 0.9912244649482987im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1239606787909107 - 0.9922871308818313im; -1.1239606787909107 + 0.9922871308818313im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1157067375389897 - 0.9932834192153231im; -1.1157067375389897 + 0.9932834192153231im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1074282638500723 - 0.99421283844364im; -1.1074282638500723 + 0.99421283844364im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0991258675899134 - 0.9950749028965342im; -1.0991258675899134 + 0.9950749028965342im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0908001663764004 - 0.9958691328613504im; -1.0908001663764004 + 0.9958691328613504im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0824517855273705 - 0.9965950547054447im; -1.0824517855273705 + 0.9965950547054447im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.074081358006385 - 0.997252200998288im; -1.074081358006385 + 0.997252200998288im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0656895243664863 - 0.997840110633214im; -1.0656895243664863 + 0.997840110633214im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0572769326919058 - 0.9983583289487833im; -1.0572769326919058 + 0.9983583289487833im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0488442385377554 - 0.9988064078497229im; -1.0488442385377554 + 0.9988064078497229im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0403921048676608 - 0.9991839059274122im; -1.0403921048676608 + 0.9991839059274122im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0319212019893769 - 0.9994903885798769im; -1.0319212019893769 + 0.9994903885798769im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0234322074883624 - 0.9997254281312556im; -1.0234322074883624 + 0.9997254281312556im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0149258061593187 - 0.9998886039507073im; -1.0149258061593187 + 0.9998886039507073im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0064026899356993 - 0.9999795025707213im; -1.0064026899356993 + 0.9999795025707213im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9978635578171909 - 0.9999977178047955im; -0.9978635578171909 + 0.9999977178047955im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9893091157951642 - 0.9999428508644476im; -0.9893091157951642 + 0.9999428508644476im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.980740076776111 - 0.999814510475523im; -0.980740076776111 + 0.999814510475523im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9721571605030499 - 0.9996123129937662im; -0.9721571605030499 + 0.9996123129937662im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9635610934749373 - 0.999335882519615im; -0.9635610934749373 + 0.999335882519615im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9549526088640502 - 0.9989848510121887im; -0.9549526088640502 + 0.9989848510121887im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9463324464313934 - 0.9985588584024282im; -0.9463324464313934 + 0.9985588584024282im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9377013524400861 - 0.9980575527053566im; -0.9377013524400861 + 0.9980575527053566im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.929060079566784 - 0.9974805901314215im; -0.929060079566784 + 0.9974805901314215im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9204093868111151 - 0.9968276351968867im; -0.9204093868111151 + 0.9968276351968867im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9117500394031478 - 0.9960983608332332im; -0.9117500394031478 + 0.9960983608332332im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9030828087088962 - 0.9952924484955382im; -0.9030828087088962 + 0.9952924484955382im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8944084721338881 - 0.9944095882697934im; -0.8944084721338881 + 0.9944095882697934im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8857278130247855 - 0.9934494789791284im; -0.8857278130247855 + 0.9934494789791284im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8770416205690782 - 0.9924118282889022im; -0.8770416205690782 + 0.9924118282889022im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8683506896928767 - 0.9912963528106309im; -0.8683506896928767 + 0.9912963528106309im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.859655820956786 - 0.9901027782047106im; -0.859655820956786 + 0.9901027782047106im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8509578204499155 - 0.9888308392819068im; -0.8509578204499155 + 0.9888308392819068im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8422574996819912 - 0.9874802801035689im; -0.8422574996819912 + 0.9874802801035689im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8335556754736326 - 0.9860508540805395im; -0.8335556754736326 + 0.9860508540805395im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8248531698447709 - 0.9845423240707203im; -0.8248531698447709 + 0.9845423240707203im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8161508099012614 - 0.9829544624752654im; -0.8161508099012614 + 0.9829544624752654im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8074494277196648 - 0.9812870513333575im; -0.8074494277196648 + 0.9812870513333575im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7987498602302523 - 0.9795398824155436im; -0.7987498602302523 + 0.9795398824155436im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7900529490982398 - 0.9777127573155899im; -0.7900529490982398 + 0.9777127573155899im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7813595406032634 - 0.9758054875408233im; -0.7813595406032634 + 0.9758054875408233im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7726704855171225 - 0.9738178946009255im; -0.7726704855171225 + 0.9738178946009255im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7639866389798052 - 0.9717498100951454im; -0.7639866389798052 + 0.9717498100951454im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7553088603738433 - 0.969601075797904im; -0.7553088603738433 + 0.969601075797904im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7466380131969617 - 0.9673715437427426im; -0.7466380131969617 + 0.9673715437427426im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7379749649331122 - 0.9650610763046017im; -0.7379749649331122 + 0.9650610763046017im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7293205869218691 - 0.962669546280383im; -0.7293205869218691 + 0.962669546280383im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7206757542262185 - 0.9601968369677689im; -0.7206757542262185 + 0.9601968369677689im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7120413454987822 - 0.9576428422422674im; -0.7120413454987822 + 0.9576428422422674im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.703418242846478 - 0.9550074666324496im; -0.703418242846478 + 0.9550074666324496im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.69480733169367 - 0.9522906253933525im; -0.69480733169367 + 0.9522906253933525im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6862095006437968 - 0.9494922445780085im; -0.6862095006437968 + 0.9494922445780085im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6776256413395464 - 0.9466122611070814im; -0.6776256413395464 + 0.9466122611070814im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6690566483215723 - 0.9436506228365711im; -0.6690566483215723 + 0.9436506228365711im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6605034188858006 - 0.9406072886235625im; -0.6605034188858006 + 0.9406072886235625im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6519668529393365 - 0.9374822283899843im; -0.6519668529393365 + 0.9374822283899843im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.643447852855032 - 0.934275423184359im; -0.643447852855032 + 0.934275423184359im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6349473233246925 - 0.9309868652414992im; -0.6349473233246925 + 0.9309868652414992im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6264661712110147 - 0.9276165580401425im; -0.6264661712110147 + 0.9276165580401425im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6180053053982382 - 0.9241645163584818im; -0.6180053053982382 + 0.9241645163584818im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6095656366415614 - 0.920630766327571im; -0.6095656366415614 + 0.920630766327571im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6011480774153628 - 0.9170153454825817im; -0.6011480774153628 + 0.9170153454825817im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.5927535417602376 - 0.9133183028118781im; -0.5927535417602376 + 0.9133183028118781im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.5843829451289053 - 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0.8808132689257795im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.5183901733817754 - 0.8763857454938229im; -0.5183901733817754 + 0.8763857454938229im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.5102763786978988 - 0.871877729236592im; -0.5102763786978988 + 0.871877729236592im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.5021957205859291 - 0.8672893977197217im; -0.5021957205859291 + 0.8672893977197217im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.4941491195708956 - 0.862620940372479im; -0.4941491195708956 + 0.862620940372479im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.486137495664827 - 0.8578725585064394im; -0.486137495664827 + 0.8578725585064394im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.4781617682011199 - 0.8530444653316838im; -0.4781617682011199 + 0.8530444653316838im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.47022285566828104 - 0.8481368859704954im; -0.47022285566828104 + 0.8481368859704954im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.46232167554310455 - 0.8431500574685538im; -0.46232167554310455 + 0.8431500574685538im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.4544591441232928 - 0.838084228803591im; -0.4544591441232928 + 0.838084228803591im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.44663617635959896 - 0.8329396608915168im; -0.44663617635959896 + 0.8329396608915168im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.4388536856874995 - 0.82771662658998im; -0.4388536856874995 + 0.82771662658998im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.4311125838584564 - 0.8224154106993607im; -0.4311125838584564 + 0.8224154106993607im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.4234137807708137 - 0.8170363099611869im; -0.4234137807708137 + 0.8170363099611869im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.41575818430035993 - 0.8115796330539522im; -0.41575818430035993 + 0.8115796330539522im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.40814670013060395 - 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0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2998750905259321 - 0.7140203856571101im; -0.2998750905259321 + 0.7140203856571101im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.29309012731524375 - 0.7073036348703587im; -0.29309012731524375 + 0.7073036348703587im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.28636417265039593 - 0.7005168848236608im; -0.28636417265039593 + 0.7005168848236608im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.27969806366832617 - 0.693660666692902im; -0.27969806366832617 + 0.693660666692902im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2730926320933711 - 0.6867355229511991im; -0.2730926320933711 + 0.6867355229511991im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2665487040711816 - 0.6797420073089031im; -0.2665487040711816 + 0.6797420073089031im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2600671000032737 - 0.6726806846509231im; -0.2600671000032737 + 0.6726806846509231im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 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0.5590414881682064im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.16548215470965855 - 0.5509809124570157im; -0.16548215470965855 + 0.5509809124570157im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.16017922851173305 - 0.5428637690773369im; -0.16017922851173305 + 0.5428637690773369im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.15495222779721818 - 0.534690810370924im; -0.15495222779721818 + 0.534690810370924im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.14980183360588983 - 0.5264627981729506im; -0.14980183360588983 + 0.5264627981729506im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.14472871813295662 - 0.5181805036987636im; -0.14472871813295662 + 0.5181805036987636im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.1397335445878769 - 0.5098447074283126im; -0.1397335445878769 + 0.5098447074283126im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.13481696705479795 - 0.501456198988248im; -0.13481696705479795 + 0.501456198988248im 0.0 + 0.0im]\n", + 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0.36986658959321944im; -0.07091512448932791 + 0.36986658959321944im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.06733707891154495 - 0.36074904799146773im; -0.06733707891154495 + 0.36074904799146773im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.06384722609566573 - 0.3515934924187596im; -0.06384722609566573 + 0.3515934924187596im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.06044603410384142 - 0.34240085450944796im; -0.06044603410384142 + 0.34240085450944796im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.057133959583357874 - 0.3331720724025996im; -0.057133959583357874 + 0.3331720724025996im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.053911447667716716 - 0.3239080905840489im; -0.053911447667716716 + 0.3239080905840489im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.050778931880099853 - 0.3146098597267986im; -0.050778931880099853 + 0.3146098597267986im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.04773683403925477 - 0.30527833652982683im; 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0.23910704092751614im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.026701782888400527 - 0.22954428890168832im; -0.026701782888400527 + 0.22954428890168832im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.02449045378871806 - 0.2199570986593948im; -0.02449045378871806 + 0.2199570986593948im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.022373098158004145 - 0.2103464779710385im; -0.022373098158004145 + 0.2103464779710385im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.02035000357337302 - 0.200713438766092im; -0.02035000357337302 + 0.200713438766092im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0184214449764194 - 0.19105899695596526im; -0.0184214449764194 + 0.19105899695596526im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.01658768461287574 - 0.18138417225583725im; -0.01658768461287574 + 0.18138417225583725im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.014848971975020886 - 0.17168998800549465im; -0.014848971975020886 + 0.17168998800549465im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.013205543746855453 - 0.16197747098921128im; -0.013205543746855453 + 0.16197747098921128im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.011657623752063917 - 0.15224765125473438im; -0.011657623752063917 + 0.15224765125473438im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.010205422904778438 - 0.14250156193141003im; -0.010205422904778438 + 0.14250156193141003im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.008849139163157993 - 0.13274023904749843im; -0.008849139163157993 + 0.13274023904749843im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.007588957485800796 - 0.12296472134673508im; -0.007588957485800796 + 0.12296472134673508im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0064250497909987825 - 0.11317605010416591im; -0.0064250497909987825 + 0.11317605010416591im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.005357574918852359 - 0.1033752689413358im; -0.005357574918852359 + 0.1033752689413358im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.004386678596250748 - 0.09356342364083732im; -0.004386678596250748 + 0.09356342364083732im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.003512493404735806 - 0.0837415619603145im; -0.003512493404735806 + 0.0837415619603145im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0027351387512515313 - 0.07391073344592401im; -0.0027351387512515313 + 0.07391073344592401im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.002054720841796698 - 0.06407198924534559im; -0.002054720841796698 + 0.06407198924534559im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0014713326579816055 - 0.05422638192035977im; -0.0014713326579816055 + 0.05422638192035977im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0009850539365000577 - 0.04437496525905429im; -0.0009850539365000577 + 0.04437496525905429im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0005959511515222227 - 0.03451879408770685im; -0.0005959511515222227 + 0.03451879408770685im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.00030407750001382183 - 0.02465892408240081im; -0.00030407750001382183 + 0.02465892408240081im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.00010947288998530702 - 0.014796411580413768im; -0.00010947288998530702 + 0.014796411580413768im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2163931676245632e-5 - 0.0049323133914168735im; -1.2163931676245632e-5 + 0.0049323133914168735im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.216393167613461e-5 + 0.004932313391416185im; -1.216393167613461e-5 - 0.004932313391416185im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.00010947288998530702 + 0.014796411580413523im; -0.00010947288998530702 - 0.014796411580413523im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.00030407750001382183 + 0.02465892408240101im; -0.00030407750001382183 - 0.02465892408240101im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0005959511515222227 + 0.03451879408770616im; -0.0005959511515222227 - 0.03451879408770616im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0009850539365000577 + 0.044374965259054044im; -0.0009850539365000577 - 0.044374965259054044im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0014713326579816055 + 0.05422638192035997im; -0.0014713326579816055 - 0.05422638192035997im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.002054720841796698 + 0.06407198924534534im; -0.002054720841796698 - 0.06407198924534534im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0027351387512514203 + 0.07391073344592333im; -0.0027351387512514203 - 0.07391073344592333im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.003512493404735695 + 0.08374156196031382im; -0.003512493404735695 - 0.08374156196031382im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.004386678596250748 + 0.09356342364083707im; -0.004386678596250748 - 0.09356342364083707im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.005357574918852248 + 0.10337526894133556im; -0.005357574918852248 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0.1716899880054944im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.01658768461287574 + 0.181384172255837im; -0.01658768461287574 - 0.181384172255837im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.018421444976419288 + 0.1910589969559646im; -0.018421444976419288 - 0.1910589969559646im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.02035000357337291 + 0.20071343876609132im; -0.02035000357337291 - 0.20071343876609132im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.022373098158004034 + 0.21034647797103825im; -0.022373098158004034 - 0.21034647797103825im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.024490453788717947 + 0.21995709865939456im; -0.024490453788717947 - 0.21995709865939456im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.026701782888400416 + 0.2295442889016881im; -0.026701782888400416 - 0.2295442889016881im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.0290067853074939 + 0.2391070409275159im; -0.0290067853074939 - 0.2391070409275159im 0.0 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ComplexF64[0.0 + 0.0im -0.05077893188009974 + 0.3146098597267984im; -0.05077893188009974 - 0.3146098597267984im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.053911447667716605 + 0.3239080905840487im; -0.053911447667716605 - 0.3239080905840487im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.057133959583357874 + 0.33317207240259933im; -0.057133959583357874 - 0.33317207240259933im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.060446034103841306 + 0.3424008545094477im; -0.060446034103841306 - 0.3424008545094477im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.06384722609566573 + 0.3515934924187598im; -0.06384722609566573 - 0.3515934924187598im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.06733707891154483 + 0.3607490479914675im; -0.06733707891154483 - 0.3607490479914675im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.07091512448932802 + 0.3698665895932196im; -0.07091512448932802 - 0.3698665895932196im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.44132889204537157im; -0.102654576516933 - 0.44132889204537157im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.10700346265048954 + 0.45006353360585033im; -0.10700346265048954 - 0.45006353360585033im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.11143525651542097 + 0.4587512361140667im; -0.11143525651542097 - 0.4587512361140667im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.11594937166663855 + 0.4673911494063499im; -0.11594937166663855 - 0.4673911494063499im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.12054521160596243 + 0.4759824315778877im; -0.12054521160596243 - 0.4759824315778877im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.1252221699091236 + 0.48452424911607656im; -0.1252221699091236 - 0.48452424911607656im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.1299796303546794 + 0.4930157770317495im; -0.1299796303546794 - 0.4930157770317495im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.13481696705479773 + 0.5014561989882478im; 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0.5590414881682058im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.17631301603203642 + 0.5670447534734449im; -0.17631301603203642 - 0.5670447534734449im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.18183954614682052 + 0.5749899753480572im; -0.18183954614682052 - 0.5749899753480572im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.18743919201881531 + 0.5828764305862473im; -0.18743919201881531 - 0.5828764305862473im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.19311123055744406 + 0.5907034059047551im; -0.19311123055744406 - 0.5907034059047551im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.19885493070662663 + 0.5984701980440763im; -0.19885493070662663 - 0.5984701980440763im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2046695535962112 + 0.6061761138672077im; -0.2046695535962112 - 0.6061761138672077im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.21055435269470146 + 0.6138204704559128im; -0.21055435269470146 - 0.6138204704559128im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2165085739632303 + 0.6214025952044849im; -0.2165085739632303 - 0.6214025952044849im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2225314560107371 + 0.6289218259109917im; -0.2225314560107371 - 0.6289218259109917im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.22862223025029815 + 0.6363775108659764im; -0.22862223025029815 - 0.6363775108659764im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.23478012105658352 + 0.6437690089386278im; -0.23478012105658352 - 0.6437690089386278im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.24100434592436704 + 0.6510956896603618im; -0.24100434592436704 - 0.6510956896603618im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2472941156280738 + 0.6583569333058448im; -0.2472941156280738 - 0.6583569333058448im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.2536486343823019 + 0.6655521309714193im; -0.2536486343823019 - 0.6655521309714193im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.5927535417602372 + 0.913318302811878im; -0.5927535417602372 - 0.913318302811878im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6011480774153628 + 0.9170153454825816im; -0.6011480774153628 - 0.9170153454825816im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6095656366415614 + 0.920630766327571im; -0.6095656366415614 - 0.920630766327571im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.618005305398238 + 0.9241645163584818im; -0.618005305398238 - 0.9241645163584818im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6264661712110144 + 0.9276165580401424im; -0.6264661712110144 - 0.9276165580401424im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6349473233246918 + 0.930986865241499im; -0.6349473233246918 - 0.930986865241499im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.6434478528550316 + 0.9342754231843589im; -0.6434478528550316 - 0.9342754231843589im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.781359540603263 + 0.9758054875408233im; -0.781359540603263 - 0.9758054875408233im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7900529490982398 + 0.9777127573155899im; -0.7900529490982398 - 0.9777127573155899im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.7987498602302519 + 0.9795398824155436im; -0.7987498602302519 - 0.9795398824155436im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8074494277196648 + 0.9812870513333575im; -0.8074494277196648 - 0.9812870513333575im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8161508099012614 + 0.9829544624752654im; -0.8161508099012614 - 0.9829544624752654im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.82485316984477 + 0.9845423240707202im; -0.82485316984477 - 0.9845423240707202im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.8335556754736322 + 0.9860508540805394im; -0.8335556754736322 - 0.9860508540805394im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.972157160503049 + 0.9996123129937661im; -0.972157160503049 - 0.9996123129937661im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9807400767761109 + 0.999814510475523im; -0.9807400767761109 - 0.999814510475523im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9893091157951637 + 0.9999428508644476im; -0.9893091157951637 - 0.9999428508644476im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -0.9978635578171903 + 0.9999977178047955im; -0.9978635578171903 - 0.9999977178047955im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.006402689935699 + 0.9999795025707213im; -1.006402689935699 - 0.9999795025707213im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.014925806159318 + 0.9998886039507073im; -1.014925806159318 - 0.9998886039507073im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.0234322074883624 + 0.9997254281312556im; -1.0234322074883624 - 0.9997254281312556im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1567191961906864 + 0.9876432015385643im; -1.1567191961906864 - 0.9876432015385643im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1648416019941341 + 0.9863200526462024im; -1.1648416019941341 - 0.9863200526462024im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1729359816285259 + 0.9849330668924555im; -1.1729359816285259 - 0.9849330668924555im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1810017807845739 + 0.9834827682032935im; -1.1810017807845739 - 0.9834827682032935im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1890384532500209 + 0.9819696854754935im; -1.1890384532500209 - 0.9819696854754935im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.1970454609437662 + 0.980394352452858im; -1.1970454609437662 - 0.980394352452858im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.2050222739480065 + 0.9787573076024457im; -1.2050222739480065 - 0.9787573076024457im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.328144424993121 + 0.9446275648878419im; -1.328144424993121 - 0.9446275648878419im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3355348773305984 + 0.9420277841416038im; -1.3355348773305984 - 0.9420277841416038im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3428870174590175 + 0.9393766514333105im; -1.3428870174590175 - 0.9393766514333105im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3502004741170743 + 0.9366747716940904im; -1.3502004741170743 - 0.9366747716940904im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3574748844511773 + 0.9339227521517063im; -1.3574748844511773 - 0.9339227521517063im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.364709894008754 + 0.9311212022138274im; -1.364709894008754 - 0.9311212022138274im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.3719051567298801 + 0.9282707333519264im; -1.3719051567298801 - 0.9282707333519264im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4813737172584558 + 0.8765154558436355im; -1.4813737172584558 - 0.8765154558436355im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4878483955352513 + 0.8729283721896551im; -1.4878483955352513 - 0.8729283721896551im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.4942785138827785 + 0.8693036010013026im; -1.4942785138827785 - 0.8693036010013026im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5006638820029665 + 0.865641771899739im; -1.5006638820029665 - 0.865641771899739im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5070043174977616 + 0.8619435144129973im; -1.5070043174977616 - 0.8619435144129973im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5132996458297963 + 0.8582094578778574im; -1.5132996458297963 - 0.8582094578778574im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.5195497002818168 + 0.854440231342763im; -1.5195497002818168 - 0.854440231342763im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.613286900653626 + 0.7898602265506661im; -1.613286900653626 - 0.7898602265506661im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.618749148904544 + 0.7855886269097221im; -1.618749148904544 - 0.7855886269097221im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6241644065050727 + 0.7812930267525561im; -1.6241644065050727 - 0.7812930267525561im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6295326461231876 + 0.7769740326839356im; -1.6295326461231876 - 0.7769740326839356im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6348538472093441 + 0.7726322493162544im; -1.6348538472093441 - 0.7726322493162544im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6401279959350452 + 0.7682682791969109im; -1.6401279959350452 - 0.7682682791969109im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6453550851306744 + 0.7638827227369265im; -1.6453550851306744 - 0.7638827227369265im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6505351142225984 + 0.7594761781408228im; -1.6505351142225984 - 0.7594761781408228im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.655668089169589 + 0.7550492413377422im; -1.655668089169589 - 0.7550492413377422im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6607540223985575 + 0.7506025059138335im; -1.6607540223985575 - 0.7506025059138335im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6657929327396461 + 0.7461365630458953im; -1.6657929327396461 - 0.7461365630458953im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.670784845360687 + 0.7416520014362794im; -1.670784845360687 - 0.7416520014362794im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6757297917010585 + 0.7371494072490623im; -1.6757297917010585 - 0.7371494072490623im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6806278094049518 + 0.7326293640474811im; -1.6806278094049518 - 0.7326293640474811im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6854789422540777 + 0.7280924527326396im; -1.6854789422540777 - 0.7280924527326396im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6902832400998375 + 0.723539251483477im; -1.6902832400998375 - 0.723539251483477im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6950407587949679 + 0.7189703356980142im; -1.6950407587949679 - 0.7189703356980142im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.6997515601246937 + 0.7143862779358638im; -1.6997515601246937 - 0.7143862779358638im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7044157117374046 + 0.7097876478620107im; -1.7044157117374046 - 0.7097876478620107im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7090332870748792 + 0.7051750121918614im; -1.7090332870748792 - 0.7051750121918614im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7136043653020752 + 0.7005489346375615im; -1.7136043653020752 - 0.7005489346375615im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7181290312365074 + 0.6959099758555811im; -1.7181290312365074 - 0.6959099758555811im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7226073752772386 + 0.6912586933955623im; -1.7226073752772386 - 0.6912586933955623im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7270394933334976 + 0.6865956416504341im; -1.7270394933334976 - 0.6865956416504341im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.731425486752953 + 0.6819213718077808im; -1.731425486752953 - 0.6819213718077808im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7357654622496543 + 0.6772364318024781im; -1.7357654622496543 - 0.6772364318024781im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.740059531831667 + 0.6725413662705767im; -1.740059531831667 - 0.6725413662705767im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7443078127284182 + 0.6678367165044448im; -1.7443078127284182 - 0.6678367165044448im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.748510427317782 + 0.663123020409148im; -1.748510427317782 - 0.663123020409148im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7526675030529038 + 0.6584008124600903im; -1.7526675030529038 - 0.6584008124600903im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7567791723888084 + 0.6536706236618794im; -1.7567791723888084 - 0.6536706236618794im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7608455727087926 + 0.6489329815084368im; -1.7608455727087926 - 0.6489329815084368im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.76486684625063 + 0.6441884099443385im; -1.76486684625063 - 0.6441884099443385im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7688431400326063 + 0.6394374293273754im; -1.7688431400326063 - 0.6394374293273754im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7727746057793985 + 0.634680556392344im; -1.7727746057793985 - 0.634680556392344im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7766613998478251 + 0.6299183042160441im; -1.7766613998478251 - 0.6299183042160441im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7805036831524803 + 0.6251511821834882im; -1.7805036831524803 - 0.6251511821834882im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7843016210912679 + 0.620379695955315im; -1.7843016210912679 - 0.620379695955315im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7880553834708635 + 0.6156043474363954im; -1.7880553834708635 - 0.6156043474363954im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7917651444321072 + 0.6108256347456322im; -1.7917651444321072 - 0.6108256347456322im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7954310823753568 + 0.6060440521869416im; -1.7954310823753568 - 0.6060440521869416im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.7990533798858168 + 0.6012600902214055im; -1.7990533798858168 - 0.6012600902214055im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.802632223658853 + 0.5964742354405971im; -1.802632223658853 - 0.5964742354405971im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8061678044253187 + 0.5916869705410633im; -1.8061678044253187 - 0.5916869705410633im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8096603168768994 + 0.5868987742999628im; -1.8096603168768994 - 0.5868987742999628im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8131099595915057 + 0.5821101215518417im; -1.8131099595915057 - 0.5821101215518417im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8165169349587138 + 0.5773214831665521im; -1.8165169349587138 - 0.5773214831665521im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.819881449105286 + 0.5725333260282901im; -1.819881449105286 - 0.5725333260282901im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8232037118207725 + 0.5677461130157588im; -1.8232037118207725 - 0.5677461130157588im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.826483936483219 + 0.5629603029834361im; -1.826483936483219 - 0.5629603029834361im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8297223399849951 + 0.558176350743942im; -1.8297223399849951 - 0.558176350743942im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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-1.8541511345322426 - 0.5200248449615485im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8570234510870685 + 0.5152774051778432im; -1.8570234510870685 - 0.5152774051778432im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8598562924876516 + 0.5105361458989851im; -1.8598562924876516 - 0.5105361458989851im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8626499094365196 + 0.5058014766182126im; -1.8626499094365196 - 0.5058014766182126im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8654045552747922 + 0.501073802657492im; -1.8654045552747922 - 0.501073802657492im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8681204859107945 + 0.49635352516327114im; -1.8681204859107945 - 0.49635352516327114im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.8707979597489839 + 0.49164104110316786im; -1.8707979597489839 - 0.49164104110316786im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.873437237619183 + 0.48693674326360986im; -1.873437237619183 - 0.48693674326360986im 0.0 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-1.9086268659449135 - 0.41760893008067246im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9106921914279908 + 0.4130856236569895im; -1.9106921914279908 - 0.4130856236569895im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.91272405928969 + 0.40857654312717323im; -1.91272405928969 - 0.40857654312717323im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.914722762333827 + 0.40408200661298105im; -1.914722762333827 - 0.40408200661298105im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9166885945177334 + 0.3996023281727758im; -1.9166885945177334 - 0.3996023281727758im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9186218508897297 + 0.39513781781541396im; -1.9186218508897297 - 0.39513781781541396im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9205228275270914 + 0.39068878151481234im; -1.9205228275270914 - 0.39068878151481234im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9223918214745086 + 0.3862555212251834im; -1.9223918214745086 - 0.3862555212251834im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.924229130683051 + 0.3818383348969192im; -1.924229130683051 - 0.3818383348969192im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9260350539496356 + 0.3774375164931214im; -1.9260350539496356 - 0.3774375164931214im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9278098908570112 + 0.3730533560067527im; -1.9278098908570112 - 0.3730533560067527im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9295539417142538 + 0.3686861394784102im; -1.9295539417142538 - 0.3686861394784102im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9312675074977887 + 0.36433614901469186im; -1.9312675074977887 - 0.36433614901469186im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9329508897929357 + 0.36000366280715745im; -1.9329508897929357 - 0.36000366280715745im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.934604390735982 + 0.35568895515186266im; -1.934604390735982 - 0.35568895515186266im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9362283129567923 + 0.3513922964694566im; -1.9362283129567923 - 0.3513922964694566im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9378229595219523 + 0.34711395332583im; -1.9378229595219523 - 0.34711395332583im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9393886338784556 + 0.3428541884532967im; -1.9393886338784556 - 0.3428541884532967im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9409256397979326 + 0.33861326077230225im; -1.9409256397979326 - 0.33861326077230225im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9424342813214261 + 0.3343914254136415im; -1.9424342813214261 - 0.3343914254136415im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9439148627047165 + 0.3301889337411784im; -1.9439148627047165 - 0.3301889337411784im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9453676883641997 + 0.32600603337504247im; -1.9453676883641997 - 0.32600603337504247im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9467930628233174 + 0.321842968215311im; -1.9467930628233174 - 0.321842968215311im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9481912906595467 + 0.3176999784661358im; -1.9481912906595467 - 0.3176999784661358im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.949562676451944 + 0.3135773006603327im; -1.949562676451944 - 0.3135773006603327im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.950907524729254 + 0.3094751676843932im; -1.950907524729254 - 0.3094751676843932im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9522261399185767 + 0.30539380880392325im; -1.9522261399185767 - 0.30539380880392325im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9535188262945984 + 0.30133344968949516im; -1.9535188262945984 - 0.30133344968949516im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9547858879293885 + 0.2972943124428874im; -1.9547858879293885 - 0.2972943124428874im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.956027628642759 + 0.29327661562371954im; -1.956027628642759 - 0.29327661562371954im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9572443519531921 + 0.28928057427645054im; -1.9572443519531921 - 0.28928057427645054im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9584363610293345 + 0.28530639995774226im; -1.9584363610293345 - 0.28530639995774226im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9596039586420564 + 0.2813543007641687im; -1.9596039586420564 - 0.2813543007641687im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9607474471170823 + 0.2774244813602601im; -1.9607474471170823 - 0.2774244813602601im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.961867128288183 + 0.273517143006876im; -1.961867128288183 - 0.273517143006876im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9629633034509446 + 0.26963248358987496im; -1.9629633034509446 - 0.26963248358987496im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9640362733170915 + 0.2657706976491087im; -1.9640362733170915 - 0.2657706976491087im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9650863379693906 + 0.2619319764076757im; -1.9650863379693906 - 0.2619319764076757im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.966113796817111 + 0.2581165078014691im; -1.966113796817111 - 0.2581165078014691im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.967118948552054 + 0.25432447650898565im; -1.967118948552054 - 0.25432447650898565im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9681020911051472 + 0.25055606398137964im; -1.9681020911051472 - 0.25055606398137964im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9690635216036023 + 0.24681144847276557im; -1.9690635216036023 - 0.24681144847276557im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9700035363286346 + 0.24309080507074549im; -1.9700035363286346 - 0.24309080507074549im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.970922430673744 + 0.23939430572715928im; -1.970922430673744 - 0.23939430572715928im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9718204991035575 + 0.2357221192890317im; -1.9718204991035575 - 0.2357221192890317im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9726980351132268 + 0.23207441152972452im; -1.9726980351132268 - 0.23207441152972452im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.973555331188384 + 0.22845134518027227im; -1.973555331188384 - 0.22845134518027227im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9743926787656534 + 0.22485307996088im; -1.9743926787656534 - 0.22485307996088im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9752103681937125 + 0.22127977261259943im; -1.9752103681937125 - 0.22127977261259943im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9760086886949058 + 0.21773157692914144im; -1.9760086886949058 - 0.21773157692914144im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9767879283274057 + 0.2142086437888422im; -1.9767879283274057 - 0.2142086437888422im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9775483739479205 + 0.21071112118674823im; -1.9775483739479205 - 0.21071112118674823im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9782903111749455 + 0.20723915426682366im; -1.9782903111749455 - 0.20723915426682366im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9790140243525518 + 0.20379288535427603im; -1.9790140243525518 - 0.20379288535427603im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9797197965147193 + 0.20037245398795991im; -1.9797197965147193 - 0.20037245398795991im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9804079093501978 + 0.19697799695289359im; -1.9804079093501978 - 0.19697799695289359im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9810786431679066 + 0.19360964831283428im; -1.9810786431679066 - 0.19360964831283428im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9817322768628598 + 0.19026753944292568im; -1.9817322768628598 - 0.19026753944292568im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.982369087882618 + 0.1869517990624144im; -1.982369087882618 - 0.1869517990624144im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.982989352194265 + 0.18366255326739686im; -1.982989352194265 - 0.18366255326739686im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.983593344251902 + 0.18039992556362im; -1.983593344251902 - 0.18039992556362im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9841813369646593 + 0.17716403689929744im; -1.9841813369646593 - 0.17716403689929744im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9847536016652196 + 0.17395500569796188im; -1.9847536016652196 - 0.17395500569796188im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9853104080788517 + 0.17077294789130507im; -1.9853104080788517 - 0.17077294789130507im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9858520242929503 + 0.1676179769520329im; -1.9858520242929503 - 0.1676179769520329im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9863787167270734 + 0.16449020392671374im; -1.9863787167270734 - 0.16449020392671374im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.986890750103484 + 0.1613897374685964im; -1.986890750103484 - 0.1613897374685964im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9873883874181815 + 0.15831668387040948im; -1.9873883874181815 - 0.15831668387040948im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9878718899124235 + 0.15527114709712458im; -1.9878718899124235 - 0.15527114709712458im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9883415170447354 + 0.1522532288186726im; -1.9883415170447354 - 0.1522532288186726im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9887975264634026 + 0.1492630284426011im; -1.9887975264634026 - 0.1492630284426011im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9892401739794368 + 0.14630064314668612im; -1.9892401739794368 - 0.14630064314668612im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.98966971354002 + 0.1433661679114511im; -1.98966971354002 - 0.1433661679114511im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9900863972024176 + 0.1404596955526261im; -1.9900863972024176 - 0.1404596955526261im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.990490475108353 + 0.13758131675350888im; -1.990490475108353 - 0.13758131675350888im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.990882195458847 + 0.13473112009723576im; -1.990882195458847 - 0.13473112009723576im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9912618044895125 + 0.13190919209894197im; -1.9912618044895125 - 0.13190919209894197im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.991629546446301 + 0.12911561723782056im; -1.991629546446301 - 0.12911561723782056im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9919856635616953 + 0.12635047798905716im; -1.9919856635616953 - 0.12635047798905716im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9923303960313472 + 0.12361385485563367im; -1.9923303960313472 - 0.12361385485563367im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9926639819911527 + 0.12090582640000626im; -1.9926639819911527 - 0.12090582640000626im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9929866574947608 + 0.11822646927563497im; -1.9929866574947608 - 0.11822646927563497im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.993298656491512 + 0.11557585825836357im; -1.993298656491512 - 0.11557585825836357im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9936002108048005 + 0.11295406627764967im; -1.9936002108048005 - 0.11295406627764967im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9938915501108585 + 0.11036116444762104im; -1.9938915501108585 - 0.11036116444762104im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9941729019179515 + 0.10779722209797037im; -1.9941729019179515 - 0.10779722209797037im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.994444491545989 + 0.10526230680466593im; -1.994444491545989 - 0.10526230680466593im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.994706542106537 + 0.10275648442047794im; -1.994706542106537 - 0.10275648442047794im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im 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0.08376460759131482im; -1.9964855696471842 - 0.08376460759131482im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.996671434859099 + 0.08152331529019743im; -1.996671434859099 - 0.08152331529019743im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9968498665439967 + 0.07931168622098743im; -1.9968498665439967 - 0.07931168622098743im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9970210623138729 + 0.07712976923676183im; -1.9970210623138729 - 0.07712976923676183im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9971852173624631 + 0.07497761181697832im; -1.9971852173624631 - 0.07497761181697832im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9973425244500942 + 0.07285526009501986im; -1.9973425244500942 - 0.07285526009501986im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.997493173888882 + 0.0707627588854808im; -1.997493173888882 - 0.0707627588854808im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9976373535282557 + 0.06870015171117236im; 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0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9999992965950715 + 0.0011860899469179167im; -1.9999992965950715 - 0.0011860899469179167im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9999995670172674 + 0.0009305725536116797im; -1.9999995670172674 - 0.0009305725536116797im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9999997507670395 + 0.0007060211462165026im; -1.9999997507670395 - 0.0007060211462165026im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.999999868703671 + 0.0005124379385345132im; -1.999999868703671 - 0.0005124379385345132im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9999999388113041 + 0.00034982479608990015im; -1.9999999388113041 - 0.00034982479608990015im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9999999761980491 + 0.00021818318237201012im; -1.9999999761980491 - 0.00021818318237201012im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.999999993095236 + 0.00011751394844217618im; -1.999999993095236 - 0.00011751394844217618im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.9999999988568058 + 4.7816193393899796e-5im; -1.9999999988568058 - 4.7816193393899796e-5im 0.0 + 0.0im]\n", + "hki = ComplexF64[0.0 + 0.0im -1.999999999958821 + 9.075124744249332e-6im; -1.999999999958821 - 9.075124744249332e-6im 0.0 + 0.0im]\n" + ] + }, { "data": { - "image/png": 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", + "image/png": 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"\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" ] }, - "execution_count": 2, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ "nk = 1000\n", - "\n", - "xarr, wkarr = gausslegendre( nk )\n", + "# karr = [ [x,0,0] for x in LinRange(0,2*pi,nk) ]\n", + "# wkarr = [ 1. for x in LinRange(0,2*pi,nk) ]\n", + "xarr, wkarr = KaiEDJ.gausslegendre( nk )\n", "karr = [ [(x .+ 1) * pi, 0,0] for x in xarr ]\n", "wkarr = wkarr / 2. # integrate an unit volume\n", "\n", "norb = 2\n", - "hk = hr_to_hk( hr, norb, karr )\n", + "hk = hr_to_hk( hr, norb, karr ; ISPIN=2 ) # Default (ISPIN=1) : dim(hk) = 2*norb (with spin-doubling onto spinless wannier functions)\n", + "@show hk\n", + "\n", + "for hki in hk\n", + " @show hki\n", + "end\n", "\n", "NReFreq = 100\n", - "ReFreqGrid = LinRange( -3, 3, NReFreq )\n", + "ReFreqGridVal = collect(LinRange( -3, 3, NReFreq ))\n", "epsilon = 0.03\n", - "ReFreqGridBroad = ReFreqGrid .+ im * epsilon\n", + "ReFreqGrid = ReFreqGridVal .+ im * epsilon\n", "\n", - "glocal_w = GetGreenLocalFromHkGrid( hk, wkarr, ReFreqGridBroad )\n", + "chem = collect( 0.0 * I(norb) ) \n", + "glocal_w = KaiEDJ.GetGreenLocalFromHkGrid( hk, wkarr, ReFreqGrid, chem ) # chemical potential convection : H_chem = - mu * N\n", "gdiag_w = [ [ g[i,i] for g in glocal_w ] for i in 1:norb ]\n", "\n", "\n", - "using Plots\n", "\n", "\n", - "p_g = plot( ReFreqGrid, imag(gdiag_w[1]) , marker=:circle)\n", - "p_g = plot!( ReFreqGrid, real(gdiag_w[1]) , marker=:circle)" + "p_g = Plots.plot( ReFreqGridVal, imag(gdiag_w[1]) )\n", + "p_g = Plots.plot!( ReFreqGridVal, real(gdiag_w[1]) )" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 12, "id": "ecaaf560", "metadata": {}, "outputs": [ @@ -617,16 +1230,106 @@ "name": "stdout", "output_type": "stream", "text": [ - " 0.180836 seconds (1.09 M allocations: 303.410 MiB, 18.03% gc time, 43.54% compilation time)\n", + " 1.445994 seconds (3.49 M allocations: 386.100 MiB, 5.93% gc time, 83.71% compilation time)\n", "hyblatt_w obtained.\n", - " 0.039432 seconds (97.40 k allocations: 6.407 MiB, 91.24% compilation time)\n", + " 0.091587 seconds (85.68 k allocations: 4.347 MiB, 99.67% compilation time)\n", "hyblattdiag_w obtained.\n" ] }, { "data": { - "image/png": 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", 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- " \n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" ] }, - "execution_count": 3, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "@time hyblatt_w = GetHybFromGreenLocalFromHkGrid( hk, wkarr, ReFreqGridBroad )\n", + "Eorb = collect( 0.0 * I(norb) ) \n", + "\n", + "@time hyblatt_w = KaiEDJ.GetHybFromGreenLocalFromHkGrid( hk, wkarr, ReFreqGrid, chem, Eorb ) # Approx. : inv(g0) = omega - Eorb + chem - Delta_hyb\n", "println(\"hyblatt_w obtained.\") ; flush(stdout)\n", "@time hyblattdiag_w = [ [ g[i,i] for g in hyblatt_w ] for i in 1:norb ]\n", "println(\"hyblattdiag_w obtained.\") ; flush(stdout)\n", "\n", - "p_h = plot( ReFreqGrid, imag(hyblattdiag_w[1]) )\n", - "p_h = plot!( ReFreqGrid, real(hyblattdiag_w[1]) )\n", + "p_h = Plots.plot( ReFreqGridVal, imag(hyblattdiag_w[1]) )\n", + "p_h = Plots.plot!( ReFreqGridVal, real(hyblattdiag_w[1]) )\n", "\n", - "plot( p_g, p_h )" + "Plots.plot( p_g, p_h )" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 14, "id": "c334e479", "metadata": {}, "outputs": [ @@ -1238,402 +1448,30 @@ "name": "stdout", "output_type": "stream", "text": [ - " 0.220415 seconds (1.51 M allocations: 396.176 MiB, 16.21% gc time, 40.09% compilation time)\n", + " 0.303686 seconds (2.56 M allocations: 397.867 MiB, 24.24% gc time)\n", "hyblatt_iw obtained.\n", - " 0.037294 seconds (89.39 k allocations: 6.187 MiB, 98.94% compilation time)\n", + " 0.109750 seconds (85.68 k allocations: 4.348 MiB, 99.67% compilation time)\n", "hyblattdiag_iw obtained.\n" ] - }, - { - "data": { - "image/png": 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"execute_result" } ], "source": [ + "\n", "#### Matsubara Green Function Setup ####\n", "beta = 128\n", "NImFreq = 1*beta\n", - "ImFreqGridVal = GetImFreqValGrid( beta, NImFreq )\n", + "ImFreqGridVal = KaiEDJ.GetImFreqValGrid( beta, NImFreq )\n", "ImFreqGrid = ImFreqGridVal * im\n", "\n", - "@time hyblatt_iw = GetHybFromGreenLocalFromHkGrid( hk, wkarr, ImFreqGrid )\n", + "@time hyblatt_iw = KaiEDJ.GetHybFromGreenLocalFromHkGrid( hk, wkarr, ImFreqGrid, chem, Eorb )\n", "println(\"hyblatt_iw obtained.\") ; flush(stdout)\n", "@time hyblattdiag_iw = [ [ g[i,i] for g in hyblatt_iw ] for i in 1:norb ]\n", - "println(\"hyblattdiag_iw obtained.\") ; flush(stdout)\n", - "\n", - "plot( ImFreqGridVal, imag(hyblattdiag_iw[1]), marker=:circle )\n", - "\n" + "println(\"hyblattdiag_iw obtained.\") ; flush(stdout)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "044395ce", "metadata": {}, "outputs": [], @@ -1642,15 +1480,15 @@ ], "metadata": { "kernelspec": { - "display_name": "Julia 1.9.3", + "display_name": "Julia 1.11.3", "language": "julia", - "name": "julia-1.9" + "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", - "version": "1.9.3" + "version": "1.11.3" } }, "nbformat": 4, diff --git a/tutorials/10_green_function_tight_binding.jl b/tutorials/10_green_function_tight_binding.jl index 862308d..42a6a3d 100644 --- a/tutorials/10_green_function_tight_binding.jl +++ b/tutorials/10_green_function_tight_binding.jl @@ -1,7 +1,10 @@ -ENV["PROJECT_PATH_ED"]="../envs/KED" -include("../src/mybase.jl") - +# ENV["PROJECT_PATH_ED"]="../envs/KED" +# include("../src/mybase.jl") +using KaiEDJ +using KaiEDJ: read_wann90, I, Plots +#using DFTforge +# hr = read_wann90( "ex_wann_1d_2sites.dat" ) hr = read_wann90( "ex_wann_1d_2sites.dat" ) @show hr @@ -14,7 +17,7 @@ end nk = 1000 # karr = [ [x,0,0] for x in LinRange(0,2*pi,nk) ] # wkarr = [ 1. for x in LinRange(0,2*pi,nk) ] -xarr, wkarr = gausslegendre( nk ) +xarr, wkarr = KaiEDJ.gausslegendre( nk ) karr = [ [(x .+ 1) * pi, 0,0] for x in xarr ] wkarr = wkarr / 2. # integrate an unit volume @@ -32,35 +35,35 @@ epsilon = 0.03 ReFreqGrid = ReFreqGridVal .+ im * epsilon chem = collect( 0.0 * I(norb) ) -glocal_w = GetGreenLocalFromHkGrid( hk, wkarr, ReFreqGrid, chem ) # chemical potential convection : H_chem = - mu * N +glocal_w = KaiEDJ.GetGreenLocalFromHkGrid( hk, wkarr, ReFreqGrid, chem ) # chemical potential convection : H_chem = - mu * N gdiag_w = [ [ g[i,i] for g in glocal_w ] for i in 1:norb ] -using Plots -p_g = plot( ReFreqGridVal, imag(gdiag_w[1]) ) -p_g = plot!( ReFreqGridVal, real(gdiag_w[1]) ) + +p_g = Plots.plot( ReFreqGridVal, imag(gdiag_w[1]) ) +p_g = Plots.plot!( ReFreqGridVal, real(gdiag_w[1]) ) Eorb = collect( 0.0 * I(norb) ) -@time hyblatt_w = GetHybFromGreenLocalFromHkGrid( hk, wkarr, ReFreqGrid, chem, Eorb ) # Approx. : inv(g0) = omega - Eorb + chem - Delta_hyb +@time hyblatt_w = KaiEDJ.GetHybFromGreenLocalFromHkGrid( hk, wkarr, ReFreqGrid, chem, Eorb ) # Approx. : inv(g0) = omega - Eorb + chem - Delta_hyb println("hyblatt_w obtained.") ; flush(stdout) @time hyblattdiag_w = [ [ g[i,i] for g in hyblatt_w ] for i in 1:norb ] println("hyblattdiag_w obtained.") ; flush(stdout) -p_h = plot( ReFreqGridVal, imag(hyblattdiag_w[1]) ) -p_h = plot!( ReFreqGridVal, real(hyblattdiag_w[1]) ) +p_h = Plots.plot( ReFreqGridVal, imag(hyblattdiag_w[1]) ) +p_h = Plots.plot!( ReFreqGridVal, real(hyblattdiag_w[1]) ) -plot( p_g, p_h ) +Plots.plot( p_g, p_h ) #### Matsubara Green Function Setup #### beta = 128 NImFreq = 1*beta -ImFreqGridVal = GetImFreqValGrid( beta, NImFreq ) +ImFreqGridVal = KaiEDJ.GetImFreqValGrid( beta, NImFreq ) ImFreqGrid = ImFreqGridVal * im -@time hyblatt_iw = GetHybFromGreenLocalFromHkGrid( hk, wkarr, ImFreqGrid, chem, Eorb ) +@time hyblatt_iw = KaiEDJ.GetHybFromGreenLocalFromHkGrid( hk, wkarr, ImFreqGrid, chem, Eorb ) println("hyblatt_iw obtained.") ; flush(stdout) @time hyblattdiag_iw = [ [ g[i,i] for g in hyblatt_iw ] for i in 1:norb ] println("hyblattdiag_iw obtained.") ; flush(stdout) diff --git a/tutorials/11_green_function_impurity_bath_discretization.jl b/tutorials/11_green_function_impurity_bath_discretization.jl index bb35a0e..f973f5a 100644 --- a/tutorials/11_green_function_impurity_bath_discretization.jl +++ b/tutorials/11_green_function_impurity_bath_discretization.jl @@ -1,5 +1,7 @@ -ENV["PROJECT_PATH_ED"]="../envs/KED" -include("../src/mybase.jl") +# ENV["PROJECT_PATH_ED"]="../envs/KED" +# include("../src/mybase.jl") +using KaiEDJ +using KaiEDJ: I , BenchmarkTools, Optimization, Plots norb = 1 nspin = 2 @@ -68,19 +70,21 @@ SParam = ( # return GetCost( HybwOrig, HybwParam ) # end -using BenchmarkTools +# using BenchmarkTools @time cost = GetCostFromFlat( BParam, SParam ) println( "initial cost : $(cost) " ) -using Optimization -prob = OptimizationProblem(GetCostFromFlat, BParam, SParam) -using OptimizationOptimJL -@time sol = solve(prob, NelderMead(), maxiters=4000) +# using Optimization +using KaiEDJ.Optimization +prob = KaiEDJ.Optimization.OptimizationProblem(GetCostFromFlat, BParam, SParam) +# using OptimizationOptimJL +using KaiEDJ.OptimizationOptimJL +@time sol = KaiEDJ.OptimizationOptimJL.solve(prob, NelderMead(), maxiters=4000) @show sol.original -using Optim -@time res = optimize( x -> GetCostFromFlat(x,SParam), BParam, LBFGS(), Optim.Options(iterations=4000)) +using KaiEDJ.Optim +@time res = KaiEDJ.Optim.optimize( x -> GetCostFromFlat(x,SParam), BParam, LBFGS(), KaiEDJ.Optim.Options(iterations=4000)) @show res # lb = [-20.0 for i in BParam ] @@ -100,21 +104,21 @@ using Optim # BParamNew = [ sol... ] # From NelderMead BParamNew = [ res.minimizer... ] # From BFGS -@time cost = GetCostFromFlat( BParamNew, SParam ) +@time cost = KaiEDJ.GetCostFromFlat( BParamNew, SParam ) println( "final cost : $(cost) " ) -enew, vnew = BathParamReshape( BParamNew, nbath ) +enew, vnew = KaiEDJ.BathParamReshape( BParamNew, nbath ) @show enew println("vnew :") using DelimitedFiles writedlm(stdout, vnew) -DiwNew = GetDeltaHybDiscGridFromFlat( BParamNew, ImFreqGrid, nspinorb, nbath ) -GiwNew = GetGreenLocalFromHybGrid( DiwNew, ImFreqGrid, collect(I(nspinorb)*0.0) ) +DiwNew = KaiEDJ.GetDeltaHybDiscGridFromFlat( BParamNew, ImFreqGrid, nspinorb, nbath ) +GiwNew = KaiEDJ.GetGreenLocalFromHybGrid( DiwNew, ImFreqGrid, collect(I(nspinorb)*0.0) ) x = ImFreqGridVal y1 = Hyb11iw -y2 = GetijarrayFromVecMat( DiwNew, 1, 1 ) +y2 = KaiEDJ.GetijarrayFromVecMat( DiwNew, 1, 1 ) @@ -125,19 +129,20 @@ epsilon = 0.04 ReFreqGridVal = collect( LinRange( -3, 3, NReFreq ) ) ReFreqGrid = ReFreqGridVal .+ im * epsilon -Gw = GetGzBethe.( ReFreqGrid ) -DwNew = GetDeltaHybDiscGridFromFlat( BParamNew, ReFreqGrid, nspinorb, nbath ) -Gwn = GetGreenLocalFromHybGrid( DwNew, ReFreqGrid, collect(I(nspinorb)*0.0) ) +Gw = KaiEDJ.GetGzBethe.( ReFreqGrid ) +DwNew = KaiEDJ.GetDeltaHybDiscGridFromFlat( BParamNew, ReFreqGrid, nspinorb, nbath ) +Gwn = KaiEDJ.GetGreenLocalFromHybGrid( DwNew, ReFreqGrid, collect(I(nspinorb)*0.0) ) bPlot = true if bPlot - using Plots + # using Plots xw = ReFreqGridVal - gw = Gw - gwn = GetijarrayFromVecMat( Gwn, 1, 1 ) + gw = KaiEDJ.GetijarrayFromVecMat( Gw, 1, 1 ) + gwn = KaiEDJ.GetijarrayFromVecMat( Gwn, 1, 1 ) - plot( xw, [ real(gw) imag(gw) ] ) - plot!( xw, [ real(gwn) imag(gwn) ] ) + Plots.plot( xw, [ real(gw) imag(gw) ], label="G (Gw)" ) + Plots.plot!( xw, [ real(gwn) imag(gwn) ], label="G (Gwn)", xlabel="Frequency", ylabel="Green's function", title="Green's Function Comparison") + Plots.savefig("Green_Function_Comparison.png") end diff --git a/tutorials/12_green_function_impurity_bath_discretization_PH.jl b/tutorials/12_green_function_impurity_bath_discretization_PH.jl index de0d58d..179c2e1 100644 --- a/tutorials/12_green_function_impurity_bath_discretization_PH.jl +++ b/tutorials/12_green_function_impurity_bath_discretization_PH.jl @@ -1,5 +1,7 @@ -ENV["PROJECT_PATH_ED"]="../envs/KED" -include("../src/mybase.jl") +# ENV["PROJECT_PATH_ED"]="../envs/KED" +# include("../src/mybase.jl") +using KaiEDJ +using KaiEDJ: I, BenchmarkTools, Optimization, Optim, Plots norb = 1 nspin = 2 @@ -68,8 +70,8 @@ SParam = ( return GetCost( HybwOrig, HybwParam ) end -using BenchmarkTools -@time cost = GetCostFromFlatPH( BParamPH, SParam ) +# using BenchmarkTools +@time cost = KaiEDJ.GetCostFromFlatPH( BParamPH, SParam ) println( "initial cost : $(cost) " ) @@ -80,24 +82,24 @@ println( "initial cost : $(cost) " ) # @show sol.original # BParamPHNew = [ sol... ] -using Optim -@time res = optimize( x -> GetCostFromFlatPH(x,SParam), BParamPH, LBFGS(), Optim.Options(iterations=4000)) +# using Optim +@time res = Optim.optimize( x -> KaiEDJ.GetCostFromFlatPH(x,SParam), BParamPH, Optim.LBFGS(), Optim.Options(iterations=4000)) @show res BParamPHNew = [ res.minimizer... ] -@time cost = GetCostFromFlatPH( BParamPHNew, SParam ) +@time cost = KaiEDJ.GetCostFromFlatPH( BParamPHNew, SParam ) println( "final cost : $(cost) " ) -enew, vnew = BathParamReshapePH( BParamPHNew, nbath ) +enew, vnew = KaiEDJ.BathParamReshapePH( BParamPHNew, nbath ) @show enew println("vnew :") using DelimitedFiles writedlm(stdout, vnew) Eorb = collect(I(nspinorb)*0.0) -DiwNew = GetDeltaHybDiscGridFromFlatPH( BParamPHNew, ImFreqGrid, nspinorb, nbath ) -GiwNew = GetGreenLocalFromHybGrid( DiwNew, ImFreqGrid, Eorb ) +DiwNew = KaiEDJ.GetDeltaHybDiscGridFromFlatPH( BParamPHNew, ImFreqGrid, nspinorb, nbath ) +GiwNew = KaiEDJ.GetGreenLocalFromHybGrid( DiwNew, ImFreqGrid, Eorb ) x = ImFreqGridVal y1 = Hyb11iw @@ -118,13 +120,19 @@ Gwn = GetGreenLocalFromHybGrid( DwNew, ReFreqGrid, Eorb ) bPlot = true if bPlot - using Plots + # using Plots xw = ReFreqGridVal gw = Gw gwn = GetijarrayFromVecMat( Gwn, 1, 1 ) - plot( xw, [ real(gw) imag(gw) ] ) - plot!( xw, [ real(gwn) imag(gwn) ] ) + Plots.plot( xw, [ real(gw) imag(gw) ] ) + Plots.plot!( xw, [ real(gwn) imag(gwn) ] ) + # set x,y labels + Plots.xlabel!( "ReFreq" ) + Plots.ylabel!( "G" ) + # set title + Plots.title!( "Green's Function Comparison" ) + Plots.savefig( "output_green_function_impurity_bath_discretization_PH.png" ) end diff --git a/tutorials/13_green_function_impurity_bath_discretization_PH_sepspin.jl b/tutorials/13_green_function_impurity_bath_discretization_PH_sepspin.jl index 3098e19..86e8c61 100644 --- a/tutorials/13_green_function_impurity_bath_discretization_PH_sepspin.jl +++ b/tutorials/13_green_function_impurity_bath_discretization_PH_sepspin.jl @@ -1,5 +1,8 @@ -ENV["PROJECT_PATH_ED"]="../envs/KED" -include("../src/mybase.jl") +# ENV["PROJECT_PATH_ED"]="../envs/KED" +# include("../src/mybase.jl") +using KaiEDJ +using KaiEDJ: BenchmarkTools, Optimization, Optim, Plots +using DelimitedFiles norb = 1 nspin = 2 @@ -93,7 +96,7 @@ SParam = ( nbathHalf ) -using BenchmarkTools +# using BenchmarkTools @time cost = GetCostFromFlatPH( BParam, SParam ) println( "initial cost : $(cost) " ) @@ -105,8 +108,8 @@ println( "initial cost : $(cost) " ) # @show sol.original # BParamNew = [ sol... ] -using Optim -@time res = optimize( x -> GetCostFromFlatPH(x,SParam), BParam, LBFGS(), Optim.Options(iterations=4000)) +# using Optim +@time res = KaiEDJ.Optim.optimize( x -> GetCostFromFlatPH(x,SParam), BParam, KaiEDJ.Optim.LBFGS(), KaiEDJ.Optim.Options(iterations=4000)) @show res BParamNew = [ res.minimizer... ] @@ -159,7 +162,7 @@ println( "initial cost : $(cost) " ) # @show sol.original # BParamDnNew = [ sol... ] -@time res = optimize( x -> GetCostFromFlatPH(x,SParam), BParam, LBFGS(), Optim.Options(iterations=4000)) +@time res = Optim.optimize( x -> GetCostFromFlatPH(x,SParam), BParam, Optim.LBFGS(), Optim.Options(iterations=4000)) @show res BParamDnNew = [ res.minimizer... ] @@ -182,8 +185,12 @@ yr2 = GetijarrayFromVecMat( yr2, 1, 1 ) doplot = true if doplot - using Plots + # using Plots xr = ReFreqGridVal - plot( xr, [ real(yr1) imag(yr1) ] ) - plot!( xr, [ real(yr2) imag(yr2) ] ) + Plots.plot( xr, [ real(yr1) imag(yr1) ] ) + Plots.plot!( xr, [ real(yr2) imag(yr2) ] ) + Plots.title!("Green Functions Comparison") + Plots.xlabel!("Frequency") + Plots.ylabel!("Amplitude") + Plots.savefig("Green_Function_Comparison.png") end diff --git a/tutorials/14_dmft_ed_solver_bethe.ipynb b/tutorials/14_dmft_ed_solver_bethe.ipynb index 42f6e58..5c909bb 100644 --- a/tutorials/14_dmft_ed_solver_bethe.ipynb +++ b/tutorials/14_dmft_ed_solver_bethe.ipynb @@ -2,58 +2,18 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "6fce4dcd", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/dmft/ed/github/KaiED/envs/KED`\n" - ] - }, - { - "data": { - "text/plain": [ - "400-element Vector{Diagonal{ComplexF64, Vector{ComplexF64}}}:\n", - " [0.0 - 0.4845387159914213im 0.0 + 0.0im; 0.0 + 0.0im 0.0 - 0.4845387159914213im]\n", - " [0.0 - 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0.010005736355733319im]\n", - " [0.0 - 0.009980647884255234im 0.0 + 0.0im; 0.0 + 0.0im 0.0 - 0.009980647884255234im]\n", - " [0.0 - 0.009955684862472225im 0.0 + 0.0im; 0.0 + 0.0im 0.0 - 0.009955684862472225im]" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "ENV[\"PROJECT_PATH_ED\"]=\"../envs/KED\"\n", + "# ENV[\"PROJECT_PATH_ED\"]=\"../envs/KED\"\n", + "\n", + "# include(\"../src/mybase.jl\")\n", + "using KaiEDJ\n", + "using KaiEDJ: BenchmarkTools, Optimization, Optim, Plots\n", + "using DelimitedFiles\n", "\n", - "include(\"../src/mybase.jl\")\n", "\n", "\n", "######## Correlated Orbital Info #########\n", @@ -81,22 +41,10 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "e58e9c38", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "dim = 256\n", - "ebathl = [-1.0, -0.6000000000000001, -0.19999999999999996, 0.19999999999999996, 0.6000000000000001, 1.0]\n", - "Vil : \n", - "-1.0\t-0.6000000000000001\t-0.19999999999999996\t0.19999999999999996\t0.6000000000000001\t1.0\n", - "-1.0\t-0.6000000000000001\t-0.19999999999999996\t0.19999999999999996\t0.6000000000000001\t1.0\n" - ] - } - ], + "outputs": [], "source": [ "######## Bath Orbital Info #########\n", "nbath = 6\n", @@ -134,23 +82,10 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "8175e656", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "ebathl : [-0.2889463982659628, -0.2889379956440348, 0.0, 0.0, 0.2889463982659628, 0.2889379956440348]\n", - "Vil : \n", - "-0.32330339120163\t0.0\t-0.11696090169068467\t0.0\t0.3233168640279126\t0.0\n", - "0.0\t-0.32330128714081374\t0.0\t0.11695325465354933\t0.0\t0.3233073832238309\n", - "\n" - ] - } - ], + "outputs": [], "source": [ "ShowBathParam( ebathlnew, Vilnew )" ] @@ -183,58 +118,20 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "ffb85446", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Emin_arr = [0.0, -0.5499526187424102, -1.0998951875081724, -1.1613504633916045, -1.2227990079140207, -1.1613542768166942, -1.0999074289344644, -0.5499610467430405, 0.0]\n" - ] - }, - { - "data": { - "text/plain": [ - "9-element Vector{Float64}:\n", - " 0.0\n", - " -0.5499526187424102\n", - " -1.0998951875081724\n", - " -1.1613504633916045\n", - " -1.2227990079140207\n", - " -1.1613542768166942\n", - " -1.0999074289344644\n", - " -0.5499610467430405\n", - " 0.0" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "@show Emin_arr" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "9bd7f8b7", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "######## Choosing Ground-sectors #########\n", "# IndGSSector = [ [ isector, e0, boltzweight ] ]\n", @@ -254,22 +151,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "506400de", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1-element Vector{Vector{Any}}:\n", - " [5, -1.2227990079140225 + 5.1486621650975586e-17im, 1.0, ComplexF64[-0.260695575469497 + 0.22761582886102072im, -2.260262937691615e-16 + 2.369256273438427e-17im, -0.16568949425341112 + 0.1446651002807914im, 1.7992212217479846e-16 - 1.742257299934669e-17im, 0.2606796963395644 - 0.22760196463906446im, -0.1656986537830686 + 0.14467309755474353im, -1.0094747255942432e-16 - 1.527980601037776e-16im, 0.2606883899422291 - 0.22760955510765202im, 4.280925094563009e-18 + 1.0907387563623356e-16im, 0.10531258957634326 - 0.0919494407327392im … -0.10532613985068738 + 0.09196127160835178im, 4.7165011670984e-17 - 1.1321195291626346e-17im, -0.010637382566417806 + 0.009287601622721988im, -1.0154070189009404e-16 + 6.934480999411719e-17im, -0.0334709072298129 + 0.029223772893435966im, -0.010637737320465466 + 0.009287911361912858im, -5.914241733303072e-17 - 3.427952475152691e-17im, -0.03347275754487853 + 0.029225388421419505im, -8.588601093003635e-17 - 2.976187516412314e-17im, 0.010637089369257335 - 0.00928734562944484im]]" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "######## Boltzmann Weight #########\n", "# IndGSSector = [ [ isector, e0, boltzweight, evec ] ]\n", @@ -290,1740 +175,29 @@ "gimpup = GetijarrayFromVecMat( Gimp, 1, 1 )\n", "gimpdn = GetijarrayFromVecMat( Gimp, 2, 2 )\n", "\n", - "G0imp = GetGreenDiscGrid( ebathlnew, Vilnew, ImFreqGrid, I(nspinorb)*chem )\n", + "G0imp = GetGreenDiscGrid( ebathlnew, Vilnew, ImFreqGrid, KaiEDJ.I(nspinorb)*chem )\n", "g0impup = GetijarrayFromVecMat( G0imp, 1, 1 )\n", "g0impdn = GetijarrayFromVecMat( G0imp, 2, 2 )" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "8bebb23e", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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"\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "using Plots\n", - "plot( ImFreqGridVal, imag(gimpup) , lt=:scatter, marker=:square)\n", - "plot!( ImFreqGridVal, imag(gimpdn) , lt=:scatter, marker=:circle)\n", - "plot!( ImFreqGridVal, imag(g0impup), linewidth=2 )\n", - "plot!( ImFreqGridVal, imag(g0impdn), linewidth=3,line=:dash )" + "\n", + "Plots.plot( ImFreqGridVal, imag(gimpup) , lt=:scatter, marker=:square, label=\"gimpup\")\n", + "Plots.plot!( ImFreqGridVal, imag(gimpdn) , lt=:scatter, marker=:circle, label=\"gimpdn\")\n", + "Plots.plot!( ImFreqGridVal, imag(g0impup), linewidth=2, label=\"g0impup\")\n", + "Plots.plot!( ImFreqGridVal, imag(g0impdn), linewidth=3, line=:dash, label=\"g0impdn\")\n", + "Plots.xlabel!(\"Imaginary Frequency\")\n", + "Plots.ylabel!(\"Green's Function\")\n", + "Plots.title!(\"Green's Functions on Imaginary Frequency Grid\")\n", + "\n", + "\n", + "#Plots.savefig(\"14_dmft_ed_solver_bethe.png\")\n" ] }, { @@ -2041,1736 +215,15 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "d1a0916a", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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imag(g0impup) , marker=:square)" + "# using Plots\n", + "Plots.plot( ImFreqGridVal, imag(selfup) )\n", + "Plots.plot!( ImFreqGridVal, imag(gimpdn) , marker=:circle)\n", + "Plots.plot!( ImFreqGridVal, imag(g0impup) , marker=:square)" ] }, { @@ -3784,15 +237,15 @@ ], "metadata": { "kernelspec": { - "display_name": "Julia 1.9.3", + "display_name": "Julia 1.11.3", "language": "julia", - "name": "julia-1.9" + "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", - "version": "1.9.3" + "version": "1.11.3" } }, "nbformat": 4, diff --git a/tutorials/14_dmft_ed_solver_bethe.jl b/tutorials/14_dmft_ed_solver_bethe.jl index 5785f74..3b2da6d 100644 --- a/tutorials/14_dmft_ed_solver_bethe.jl +++ b/tutorials/14_dmft_ed_solver_bethe.jl @@ -1,5 +1,9 @@ -ENV["PROJECT_PATH_ED"]="../envs/KED" -include("../src/mybase.jl") +# ENV["PROJECT_PATH_ED"]="../envs/KED" +# include("../src/mybase.jl") + +using KaiEDJ +using KaiEDJ: I, BenchmarkTools, Optimization, Optim, Plots +using DelimitedFiles ######## Correlated Orbital Info ######### @@ -101,10 +105,14 @@ selfdn = GetSelf( g0impdn, gimpdn, chem ) G0newimp = GetGreenImpGrid( zeros(nspinorb,nspinorb), (D*D / 2. / 2. ) * Gimp, ImFreqGrid ) -using Plots +# using Plots xdat = ImFreqGridVal -plot( xdat, imag( GetijarrayFromVecMat(gbetheiw,1,1) ) ) -plot!( xdat, imag( GetijarrayFromVecMat(G0newimp,1,1) ) ) +Plots.plot( xdat, imag( GetijarrayFromVecMat(gbetheiw,1,1) ) ) +Plots.plot!( xdat, imag( GetijarrayFromVecMat(G0newimp,1,1) ) ) + +Plots.xlabel!("Frequency") +Plots.ylabel!("Amplitude") +Plots.savefig("14_dmft_ed_solver_bethe.png") ######## Lattice Green Function Construction ######### # For Bethe lattice model, diff --git a/tutorials/14_dmft_ed_solver_bethe.png b/tutorials/14_dmft_ed_solver_bethe.png new file mode 100644 index 0000000..ef79f65 Binary files /dev/null and b/tutorials/14_dmft_ed_solver_bethe.png differ diff --git a/tutorials/15_dmft_ed_loop_bethe.jl b/tutorials/15_dmft_ed_loop_bethe.jl index 2446f18..8c9c6b3 100644 --- a/tutorials/15_dmft_ed_loop_bethe.jl +++ b/tutorials/15_dmft_ed_loop_bethe.jl @@ -1,6 +1,9 @@ -ENV["PROJECT_PATH_ED"]="../envs/KED" -include("../src/mybase.jl") +# ENV["PROJECT_PATH_ED"]="../envs/KED" +# include("../src/mybase.jl") +using KaiEDJ +using KaiEDJ: BenchmarkTools, Optimization, Optim, Plots +using DelimitedFiles ######## Correlated Orbital Info ######### norb = 1 @@ -71,7 +74,7 @@ Hybiw = deepcopy(Hybiw_init) ndmftloop = 1 for idmft in 1:ndmftloop init_println( "DMFT loop ($(idmft))" ) - Gimpiw, G0impiw, Gnewiw, Hybiwnew, Selfiwnew, ebathlnew, Vilnew, GSSectorInfo = SolveEDBetheDegen( Hybiw, ebathl, Vil, ImFreqGrid, ntot, nspinorb, chem, opccaavec ; TolEGS=6e-5 ) + Gimpiw, G0impiw, Gnewiw, Hybiwnew, Selfiwnew, ebathlnew, Vilnew, GSSectorInfo = KaiEDJ.SolveEDBetheDegen( Hybiw, ebathl, Vil, ImFreqGrid, ntot, nspinorb, chem, opccaavec ; TolEGS=6e-5 ) global Hybiw = Hybiwnew global ebathl = deepcopy( ebathlnew ) global Vil = deepcopy( Vilnew ) @@ -88,7 +91,7 @@ for idmft in 1:ndmftloop ReFreqGridVal = collect( LinRange( -10, 10, NReFreq ) ) ReFreqGrid = ReFreqGridVal .+ im * epsilon G0imp_w = GetGreenDiscGrid( ebathl, Vil, ReFreqGrid ) - Gimpw, G0impw, Gneww, Hybwnew, Selfwnew, ebathldum, Vildum, GSSectorInfo = SolveEDBetheDegen( Hybiw, ebathl, Vil, ReFreqGrid, ntot, nspinorb, chem, opccaavec ; BathOpt=false, GSSectorInfo=GSSectorInfo ) + Gimpw, G0impw, Gneww, Hybwnew, Selfwnew, ebathldum, Vildum, GSSectorInfo = KaiEDJ.SolveEDBetheDegen( Hybiw, ebathl, Vil, ReFreqGrid, ntot, nspinorb, chem, opccaavec ; BathOpt=false, GSSectorInfo=GSSectorInfo ) SelfwUp = GetijarrayFromVecMat( Selfwnew, 1, 1 ) SelfwDn = GetijarrayFromVecMat( Selfwnew, 2, 2 ) GbethewUp = GetGzBetheFromSelf( ReFreqGrid, SelfwUp )